99 citations · 492 across the 111 of their papers we have counts for
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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…
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…
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…
Rational rigidity for E_8(p)
Robert Guralnick, Gunter Malle
We prove the existence of certain rationally rigid triples E8 in good characteristic and thereby show that these groups over the prime field occur as Galois groups over the field o…
On the maximal number of coprime subdegrees in finite primitive permutation groups
Silvio Dolfi, Robert Guralnick, Cheryl Praeger +1
The subdegrees of a transitive permutation group are the orbit lengths of a point stabilizer. For a finite primitive permutation group which is not cyclic of prime order, the large…
Products of conjugacy classes in finite and algebraic simple groups
Robert M. Guralnick, Gunter Malle, Pham Huu Tiep
We prove the Arad-Herzog conjecture for various families of finite simple groups- if A and B are nontrivial conjugacy classes, then AB is not a conjugacy class. We also prove that…