99 citations · 492 across the 111 of their papers we have counts for
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On the generalized Fitting height and insoluble length of finite groups
Robert M. Guralnick, Gareth Tracey
We prove two conjectures of E. Khukhro and P. Shumyatsky concerning the Fitting height and insoluble length of finite groups. As a by-product of our methods, we also prove a genera…
Topological generation of exceptional algebraic groups
Timothy C. Burness, Spencer Gerhardt, Robert M. Guralnick
Let be a simple algebraic group over an algebraically closed field and let be non-central conjugacy classes in . In this paper, we consider the proble…
Generic stabilizers in actions of simple algebraic groups II: higher Grassmannian varieties
R. M. Guralnick, R. Lawther
This is the second of two papers treating faithful actions of simple algebraic groups on irreducible modules and on the associated Grassmannian varieties; in the first paper we con…
Generic stabilizers in actions of simple algebraic groups
R. M. Guralnick, R. Lawther
In this paper we treat faithful actions of simple algebraic groups on irreducible modules and on the associated Grassmannian varieties. By explicit calculation, we show that in eac…
Centers of Sylow Subgroups and Automorphisms
George Glauberman, Robert Guralnick, Justin Lynd +1
Suppose that p is an odd prime and G is a finite group having no normal non-trivial p'-subgroup. We show that if a is an automorphism of G of p-power order centralizing a Sylow p-g…