15 citations · 17 across the 11 of their papers we have counts for
9 papers · 1 filter
Bounding the order of complex linear groups and permutation groups with selected composition factors
Geoffrey R. Robinson
Originally motivated by questions of P. Etingof related to growth rates of tensor powers in symmetric tensor categories, we obtain general bounds on the order of finite subgroups o…
Bounding the order of finite - subgroups of
Geoffrey Robinson
In this note, we prove: \medskip \noindent {\bf Theorem A:} \emph{ There is a fixed constant such that for any positive integer and prime , every finite subgroup of…
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…
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.
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…
More on a question of M. Newman on isomorphic subgroups of solvable groups
George Glauberman, Geoffrey R. Robinson
M.Newman has asked if it is the case that whenever H and K are isomorphic subgroups of a finite solvable group G with H maximal, then K is also maximal. This question was considere…