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math.GR2012★ 2 cited
Appendix A: Adequacy of representations of finite groups of Lie type
Robert M. Guralnick
Thorne introduced the notion of adequate representations as a weakening of the big representations used by Wiles and Taylor and others. In this appendix to Dieulefait's paper, Auto…
math.GR2012
The number of regular semisimple conjugacy classes in the finite classical groups
Jason Fulman, Robert Guralnick
Using generating functions, we enumerate regular semisimple conjugacy classes in the finite classical groups. For the general linear, unitary, and symplectic groups this gives a di…
math.GR2012
Cosets of Sylow p-subgroups and a Question of Richard Taylor
Daniel Goldstein, Robert M. Guralnick
We prove that for any prime p there exist infinitely many finite simple groups G with a coset xP of a Sylow p-subgroup P of G such that every element of xP has order divisible by p…