99 citations · 492 across the 111 of their papers we have counts for
136 papers
Infinitely many finite simple groups of Lie type are not generated invariably by two elements of prime order
Robert M. Guralnick, John Shareshian, Russ Woodroofe
We show that there are infinitely many k for which Sp_{2k}(2) is not generated invariably by two elements of prime order.
Forcible groups and Frattini covers
Sean Eberhard, Robert M. Guralnick, Carl Schildkraut +1
We say that a finite group *forces* a finite group if every finite cover of contains a subgroup isomorphic to , and we say is *forcible* if some finite group …
Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals
Mikhail Borovoi, Willem A. de Graaf, Robert M. Guralnick
Following an idea of Demarche and using computer calculations of the authors and ideas of the LLM Claude Fable 5, we construct an explicit 10-dimensional complex two-step nilpotent…
On a conjecture of Peter Neumann on fixed points in permutation groups
Daniele Garzoni, Robert M. Guralnick, Martin W. Liebeck
We prove a conjecture of Peter Neumann from 1966, predicting that every finite non-regular primitive permutation group of degree contains an element fixing at least one point a…
The variety of nilpotent pairs with
Vlad Roman, Robert M. Guralnick
Let be an algebraically closed field of characteristic . We consider the variety of nilpotent pairs with , namely the set of pairs $ X = \{ (A,B) \in M_…
Derangements in finite classical groups and characteristic polynomials of random matrices
Jason Fulman, Robert Guralnick
We first obtain explicit upper bounds for the proportion of elements in a finite classical group G with a given characteristic polynomial. We use this to complete the proof that th…