15 citations · 17 across the 11 of their papers we have counts for
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math.GR2020
Commuting involutions and elementary abelian subgroups of simple groups
Robert M. Guralnick, Geoffrey R. Robinson
Motivated in part by representation theoretic questions, we prove that if G is a finite quasi-simple group, then there exists an elementary abelian subgroup of G that intersects ev…
math.GR2020
On finite groups with all simple modules of low dimension in characteristic p
Geoffrey R. Robinson
We give a short proof of the fact that if all characteristic p simple modules of the finite group G have dimension less than p, then G has a normal Sylow p-subgroup.
math.GR2020
Lower bounds on the maximum dimension of a simple module in characteristic p
Geoffrey R. Robinson
We obtain lower bounds for the maximum dimension of a simple FG-module, where G is a finite group and F is an algebraically closed field of characteristic p. The bounds are describ…