A printed version of this page has no headers, footers, menu bars or this message.

Professor of Mathematics
Department of Mathematics and Statistics
Saint Louis University
220 N. Grand Boulevard
St. Louis, MO 63103
U.S.A.

email: russell.blyth@slu.edu

Phone: (314)977-2458
Department Office: (314)977-2444

1. Rewriting products of group elements - I, Journal of Algebra 116 (1988), 506-521 (MR0953167 90b:20033)
2. Rewriting products of group elements - II, Journal of Algebra 118 (1988), 246-259 (MR0971358 90b:20034)
3. Recent progress in rewritability of groups (with D. J. S. Robinson), Proceedings of the 1987 Singapore Group Theory Conference, de Gruyter, Berlin 1989 (MR0981835 90b:20035)
4. Rewritable products in FC-by-finite groups (with A. H. Rhemtulla), Canadian Journal of Mathematics 41 (1989), 369-384 (MR1001616 90d:20074)
5. Solution of the solubility problem for rewritable groups (with D. J. S. Robinson), Journal of the London Mathematical Society 41 (1990), 438-444 (MR1072050 91j:20102)
6. Insoluble groups with the rewriting property P₈ (with D. J. S. Robinson), Journal of Pure and Applied Algebra 72 (1991), 251-263 (MR1120692 93b:20055)
7. Semisimple groups with the rewriting property Q₅ (with D. J. S. Robinson), Communications in Algebra, 23(6) (1995), 2171-2180 (MR1327132 96b:20039)
8. Odd order groups with the rewriting property Q₃, Archiv der Mathematik 78 (2002) 337-344. (MR1903666 2003g:20033)
9. On computing the nonabelian tensor squares of the free 2-Engel groups, (joint with Robert Fitzgerald Morse and Joanne Redden), Proceedings of the Edinburgh Mathematical Society 47 (2004), 305-323 (MR2081056 2005d:20064)
10. Effective Live Online Faculty Development Workshops: One Model (with Michael K. May, S.J. and Julianne G. Rainbolt), Educause Quarterly 29 (Number 4) (2006) 33-40
11. Critical Thinking in Mathematics, contributed section (4 pages) in "Critical Thinking in College (2nd custom edition)" by George W. Rainbolt and Sandra L. Dwyer, Thomson, Mason OK, 2008 (a philosophy text).
12. On the derived subgroup of the free nilpotent groups of finite rank, (joint with Primož Moravec and Robert Fitzgerald Morse), in "Aspects of Infinite Groups," A Festschrift in Honor of Anthony Gaglione, edited by Benjamin Fine, Gerhard Rosenberger and Dennis Spellman. Algebra and Discrete Mathematics - Vol. 1, World Scientific, 2008, 45-53 (MR2571510 2010k:20055)
13. On the nonabelian tensor squares of free nilpotent groups of finite rank, (joint with Primož Moravec and Robert Fitzgerald Morse), in "Computational Group Theory and the Theory of Groups," edited by: Luise-Charlotte Kappe, Arturo Magidin and Robert Fitzgerald Morse. Contemporary Mathematics vol. 470, American Mathematical Society, 2008, 27-44 (MR2478412 2009m:20047)
14. Computing the nonabelian tensor square of polycyclic groups, (joint with Robert Fitzgerald Morse), Journal of Algebra 321 (2009), 2139-2148 (MR2501513 2010g:20089)
15. Some structural results on the non-abelian tensor square of groups (joint work with Francesco Fumagalli and Marta Morigi), Journal of Group Theory 13 (2010), 83-94 (MR2604847 2011d:20050)
16. Discovering Theorems in Abstract Algebra Using the Software GAP (joint work with Julianne G. Rainbolt), PRIMUS 20 (2010), 217-227
17. A survey of recent progress on non-abelian tensor squares of groups (joint with Francesco Fumagalli and Marta Morigi), Proceedings of Ischia Group Theory 2010, World Scientific, 2011, 26-38 (MR3184981)
18. Improved Appreciation of Mathematics through an IBL Liberal Arts Mathematics Course, PRIMUS 25 (2015), 265-278
19. The solvability of groups with nilpotent minimal coverings (joint with Francesco Fumagalli and Marta Morigi), Journal of Algebra 427 (2015), 375-385 (MR3312310)
20. On the lower central series of the free nilpotent groups of finite rank (joint with Mark Pedigo), Communications in Algebra 47(11) (2019), 4462-4475 (MR3991030)
21. On the holomorph of finite semisimple groups (joint with Francesco Fumagalli), Journal of Group Theory 24(3) (2021), 587-599 (MR4250498)
22. On some questions related to integrable groups (joint with Francesco Fumagalli and Francesco Matucci), Annali di Matematica Pura ed Applicata (4) 202(4) (2023), 1781-1791 (MR4597601)

1. Rewriting products of group elements, Abstracts Amer. Math. Soc. 8 Number 1 (1987), p. 33
2. Solvability and rewritability of groups (with D. J. S. Robinson), Abstracts Amer. Math. Soc. 10 Number 1 (1989), p. 42
3. Insolvable 5-rewritable groups (with D. J. S. Robinson), Abstracts Amer. Math. Soc. 13 Number 2 (1992), p. 210
4. Semisimple 5-rewritable groups (with D. J. S. Robinson), Abstracts Amer. Math. Soc. 16 Number 1 (1995), p. 73
5. The solvability of groups with minimal nilpotent coverings (with Francesco Fumagalli and Marta Morigi), Abstracts Amer. Math. Soc. 36 Number 1 (2015), p. 107

• Rewriting Products of Group Elements, 10 minute talk, Group Theory Session, Joint Mathematics Meetings, San Antonio, January 1987.
• Rewriting Products of Group Elements, 50 minute seminar, Saint Louis University, February 1987.
• Rewriting Products of Group Elements, 1 hour talk, Chicago Area Group Theory Seminar, University of Chicago, March 1987.
• Rewritability in groups, 50 minute talk, Algebra Seminar, University of Alberta, March 1988
• Solution of the Solubility Problem for Rewritable Groups, 50 minute talk, Conference on permutability in groups, semigroups and automata theory, Istituto Matematica "Ulisse Dini", Florence, November 1988.
• Solvability and Rewritability in Groups, 10 minute talk, Group Theory Session, Annual meeting of the AMS, Phoenix, January 1989.
• Solution of the Solubility Problem for Rewritable Groups, 30 minute talk, "Groups - St. Andrews 1989", University of St. Andrews, St. Andrews, August 1989.
• Rewritability in groups, 50 minute talks:
  1. University of Waikato, June 1990
  2. Victoria University of Wellington, July 1990
  3. Massey University, July 1990.
• Rewritability in groups, four 50 minute talks, Algebra Seminar, University of Auckland, June-July 1990.
• Insolvable 5-rewritable groups, 20 minute talk, Special Session on Infinite Groups and Group Rings, Southeastern Regional Meeting of the AMS, Tuscaloosa, March 1992.
• Semisimple 5-rewritable groups, 10 minute talk, Group Theory Session, Joint Mathematics Meetings, San Francisco, January 1995.
• Odd order groups with the rewriting property Q₃, 30 minute talk, "Groups - St. Andrews in Oxford 2001", University of Oxford, Oxford, August 2001.
• The nonabelian tensor squares of the free 2-Engel groups, 20 minute talk, Special Session on Infinite Groups and Group Rings, Eastern Sectional meeting of the American Mathematical Society, Binghamton, New York, October 11, 2003.
• Computing nonabelian tensor squares of polycyclic groups - II, 20 minute talk, Zassenhaus Group Theory conference, Montgomery, Alabama, March 2005.
• Computing nonabelian tensor squares of polycyclic groups, 20 minute talk, "Groups St. Andrews 2005," St. Andrews, Scotland, July 2005.
• An algorithm for computing the nonabelian tensor squares of polycyclic groups, (joint work with Primož Moravec and Robert Fitzgerald Morse), Special Session on Computational Group Theory, 2007 Spring A.M.S. Southeastern Section Meeting, March 3, 2007.
• Nonabelian tensor squares of free nilpotent groups of finite rank, (joint work with Primož Moravec and Robert Fitzgerald Morse), group theory seminar, University of Illinois, September 27, 2007, group theory seminar, University of Florence, November 6, 2007, algebra seminar, University of Milan, November 7, 2007, algebra seminar, University of Bologna, November 13, 2007.
• Nonabelian tensor squares of free nilpotent groups of finite rank, (joint work with Primož Moravec and Robert Fitzgerald Morse), Special Session "Groups, Actions and Computation" at the First Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society, Wellington, New Zealand, December 12-15, 2007.
• Structure of the Derived Subgroups of the Free Nilpotent Groups of Finite Rank, (joint work with Primož Moravec and Robert Fitzgerald Morse), Derek J. S. Robinson Seventieth Birthday Symposium, Montgomery, AL, March 15, 2008.
• Structure of the Derived Subgroups of the Free Nilpotent Groups of Finite Rank, (joint work with Primož Moravec and Robert Fitzgerald Morse), Conference on Computational Group Theory and Cohomology, Harlaxton College (United Kingdom), August 4-8, 2008.
• Recent progress on nonabelian tensor squares of groups, Special Session on Computational Group Theory, 2008 Fall A.M.S. Midwest Section Meeting, October 17, 2008.
• A survey of recent progress on nonabelian tensor squares of groups, (joint work with Francesco Fumagalli and Marta Morigi), 20 minute talk, "Groups St. Andrews 2009 in Bath", University of Bath, England, August 2, 2009.
• The solvability of groups with nilpotent minimal coverings, (joint work with Francesco Fumagalli and Marta Morigi), Special Session on What's New in Group Theory?, Joint Mathematics Meetings, San Antonio, TX, January 13, 2015.
• A brief survey of non-abelian tensor products of groups, Algebra seminar (50 minutes), Università di Firenze, Florence, Italy, May 29, 2019. Slides

1. Planning and Implementing Calculus Reform in a Mid-Sized Department (with Michael K. May and T. Christine Stevens), Abstracts Amer. Math. Soc. 18 Number 1 (1997), p. 170
2. Using computer algebra systems to develop students' theoretical understanding of abstract algebra (with Michael May, Julianne Rainbolt and T. Christine Stevens), Abstracts Amer. Math. Soc. 21 Number 1 (2000)
3. Using XGAP to explore the structure of groups, Abstracts Amer. Math. Soc. 28 Number 1 (2007), p. 323
4. Pedagogy and Visualization: Two Aspects of the Use of a CAS in Linear Algebra (with Mike May, S.J.), Abstracts Amer. Math. Soc. 28 Number 1 (2007), p. 278
5. Discovering Theorems in Abstract Algebra using GAP (with Julianne Rainbolt), Abstracts Amer. Math. Soc. 30 Number 1 (2009), p. 383
6. Do it together to understand it: group activities that help liberal arts students understand mathematical concepts, Abstracts Amer. Math. Soc. 33 Number 1 (2012), pp. 447-448
7. Improved appreciation of mathematics through an IBL liberal arts mathematics course (preliminary report), Abstracts Amer. Math. Soc. 34 Number 1 (2013), p. 457

• Teaching Abstract Algebra with Computer Projects, 60 minute presentation, Project NExT, Seattle, August 1996
• Teaching Abstract Algebra with Computer Projects, two hour presentation, Texas Project NExT, Tyler, October 1996
• Planning and Implementing Calculus Reform in a Mid-Sized Department, 10 minute talk, Joint Mathematics Meetings, San Diego, January 1997
• Networking for Change, Panel Discussion, Sixth Annual Conference on Teaching Mathematics, Milwaukee, June 1997
• Teaching Abstract Algebra with Computer Projects, 60 minute presentation, Project NExT, Toronto, July 1998
• Teaching Abstract Algebra with Computer Projects, 60 minute presentation, Project NExT, Providence, August 1999
• Active Learning Strategies in College Level Mathematics, 60 minute presentation, MEGSL (Mathematics Educators of Greater St. Louis), St. Louis, February 2001
• SLU 2000 Inquiry Seminars in Mathematics (with Dr. Anneke Bart), SLU 2000 Conference, Saint Louis University, St. Louis, May 2001
• Integrating Technology into Teaching - Technology in the Service of Active Learning, 90-minute presentation, Center for Teaching Excellence seminar, January 29, 2002
• Math for Freshmen: Infinity, Primes, the Fourth Dimension and Chaos, 60-minute talk, Mathematics Educators of Greater St. Louis, February 2, 2002
• (R)Evolution of SLU2000 Courses, 50-minute presentation (with Drs. Anneke Bart, David Kirschner and Gregory H. Wolf), SLU2000 Conference, Saint Louis University, May 20, 2002 (due to my illness on May 20, Dr. Bart presented my part of the presentation)
• Integrating Technology into Teaching - Technology in the Service of Active Learning, 45-minute presentation (with Michael K. May, S.J.), Center for Teaching Excellence summer program for visiting Brazilian educators, July 18, 2002
• Active Learning, 90-minute presentation, Center for Teaching Excellence seminar, November 19 and 22, 2002, March 16, 2004 and October 3 and 6, 2006
• To Infinity and Beyond in 50 Minutes, 50-minute talk, Mathematics Educators of Greater St. Louis winter conference, Visitation Academy, February 1 2003
• Copresenter (with Dr. Julianne Rainbolt) of online workshop Abstract Algebra with GAP, July 14-18, 2003 (a Mathematical Association of America PREP workshop)
• Creating an engaging classroom environment, panelist, Building the Bridge to College: Strategies for Teaching Freshmen, Saint Louis University, May 11 2004
• Copresenter (with Dr. Julianne Rainbolt) of online workshop Exploring Abstract Algebra Using Computer Software, June 28-July 2, 2004 (a Mathematical Association of America PREP workshop)
• Small Group Strategies, 90-minute presentation, Center for Teaching Excellence seminar, March 1 and 4, 2005
• Copresenter (with Fr. Mike May, S.J.) of online workshop Exploring Linear Algebra Using Maple, June 27 - July 1, 2005 (a Mathematical Association of America PREP workshop)
• Copresenter (with Dr. Julianne Rainbolt) of online workshop Incorporating the Software GAP into Teaching Abstract Algebra, July 10-14, 2006 (a Mathematical Association of America PREP workshop)
• Copresenter (with Fr. Mike May, S.J.) of online workshop Exploring Multivariable Calculus Using Maple, July 24-28, 2006 (a Mathematical Association of America PREP workshop)
• Active Learning, 90-minute presentation, Center for Teaching Excellence seminar, October 3 and 6, 2006 and October 28, 2008
• Using XGAP to explore the structure of groups, 10 minute talk, Joint Mathematics Meetings, New Orleans, January 5, 2007
• Pedagogy and Visualization: Two Aspects of the Use of a CAS in Linear Algebra, 15 minute talk, Joint Mathematics Meetings, New Orleans, January 6, 2007
• Copresenter (with Fr. Mike May, S.J.) of online workshop Exploring Multivariable Calculus Using Maple, June 25-29, 2007 (a Mathematical Association of America PREP workshop)
• Discovering Theorems in Abstract Algebra using the Software GAP, (with Julianne G. Rainbolt), 10 minute talk, MAA Contributed Talks session, Joint Mathematics Meetings, Washington, D.C., January 8, 2009
• Copresenter (with Fr. Mike May, S.J.) of online workshop Web-Enhanced Instruction with GeoGebra, July 6-10, 2009 (a Mathematical Association of America PREP workshop)
• Copresenter (with Fr. Mike May, S.J.) of online workshop Web-Enhanced Instruction with GeoGebra, July 19-23, 2010 (a Mathematical Association of America PREP workshop)
• Small Group Strategies, 110-minute presentation, Center for Teaching Excellence seminar, April 12 and 15, 2011
• Do it together to understand it: group activities that help liberal arts students understand mathematical concepts, 10 minute talk, MAA Session on Projects, Demonstrations, and Activities that Engage Liberal Arts Mathematics Students, Joint Mathematics Meetings, Boston, MA, January 6, 2012
• A Brief Tour of GeoGebra, 20 minute talk, MAA Missouri Section Meeting, University of Missouri St. Louis, April 14, 2012
• Small Group Strategies, 110-minute presentation, Center for Transformative Teaching and Learning, September 26, 2012
• Improved appreciation of mathematics through an IBL liberal arts mathematics course (preliminary report), 15 minute talk, MAA Session on Using Inquiry-Based Learning in Mathematics for Liberal Arts Courses, Joint Mathematics Meetings, San Diego, CA, January 11, 2013
• Crafting Learning Experiences: Experiential, Problem-Based, and Active Learning, Panel Discussant (with Jennifer Ashley and Sarah Patrick), Center for Transformative Teaching and Learning Winter Institute 2014: The Art and Science of Learning, January 9, 2014
• Active Learning: What, Why and How, Praxis Workshop (90 minutes), Center for Transformative Teaching and Learning, October 25, 2016
• Active Learning: What, Why and How, Praxis Workshop (90 minutes), Center for Transformative Teaching and Learning, September 20, 2019

• Puzzling Math, 30 minute talk, High School Mathematics Recognition Banquet, University of Evansville, April 7, 2004

• Annual Joint Mathematics Meetings: January of 1987 (San Antonio), 1989 (Phoenix), 1992 (Baltimore), 1995 (San Francisco), 1997 (San Diego), 2007 (New Orleans), 2009 (Washington D.C.), 2012 (Boston), 2013 (San Diego), 2015 (San Antonio)
• Conference on permutability in groups, semigroups and automata theory, Istituto Matematica "Ulisse Dini", Florence, November 1988
• Groups - St. Andrews 1989, University of St. Andrews, St. Andrews, August 1989
• Southeastern Regional Meeting of the AMS, Tuscaloosa AL, March 1992
• Southeastern Regional Meeting of the AMS, Lexington KY, March 1994
• Infinite Groups 1994, Ravello, May 1994
• Zassenhaus Regional Group Theory Meeting, Miami University of Ohio, May 1995
• Preparation and Development of Teaching Assistants, University of New Hampshire, Durham, February 1996
• Summer Meeting of the AMS/MAA, Seattle, August 1996
• Sixth Annual Conference on Teaching, Milwaukee, June 1997
• Groups - St. Andrews in Bath 1997, University of Bath, Bath, July 26 - August 9, 1997
• MEGSL (Mathematics Educators of Greater St. Louis) Spring meeting, St. Louis, February 2001
• Groups - St. Andrews in Oxford 2001, University of Oxford, Oxford, August 5-18 2001
• MEGSL (Mathematics Educators of Greater St. Louis) Spring meeting, St. Louis, February 2002
• Ohio State-Denison Mathematics Conference, Dennison University, May 2002
• MEGSL (Mathematics Educators of Greater St. Louis) Spring meeting, St. Louis, February 2003
• Zassenhaus Regional Group Theory Meeting, University of Evansville, March 2003
• Eastern Regional Meeting of the AMS, Binghamton NY, October 2003
• Zassenhaus Regional Group Theory Meeting, Auburn University Montgomery AL, March 2005
• Groups - St. Andrews 2005, University of St. Andrews, St. Andrews, July 30 - August 6, 2005
• Ohio State-Denison Mathematics Conference, Columbus OH, May 2006
• Zassenhaus Regional Group Theory Meeting, Saint Louis University, March 2007
• First Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society, Wellington, New Zealand, December 12-15, 2007
• Derek J.S. Robinson 70th Birthday Symposium, Montgomery AL, March 2008
• Conference on Computational Group Theory and Cohomology, Harlaxton College (United Kingdom), August 4-8, 2008
• Midwest Regional Meeting of the AMS, Kalamazoo MI, October 2008
• Groups - St. Andrews in Bath 2009, University of Bath, Bath, August 1-15, 2009
• MAA Missouri Section Meeting, University of Missouri St. Louis, April 13-14, 2012
• Groups - St. Andrews 2013, University of St. Andrews, St. Andrews, August 3 - August 11, 2013
• Ischia Group Theory 2014, Grand Hotel delle Terme Re Ferdinando, Ischia (Italy), April 1 - April 5, 2014
• Group Theory in Florence - A conference in Honour of Guido Zappa, Università di Firenze, Florence (Italy), June 16 - June 17, 2016
• Groups - St. Andrews in Birmingham 2017, University of Birmingham, Birmingham (U.K.), August 5-12, 2017
• SandGAL 2019 - Semigroups and Groups, Automata, Logics, Politecnico di Milano, Cremona campus, Cremona (Italy), June 10-13, 2019