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math.GR2014
On rational and concise words
Robert Guralnick, Pavel Shumyatsky
A group-word w is called concise if whenever the set of w-values in a group G is finite it always follows that the verbal subgroup w(G) is finite. More generally, a word w is said…
math.RT2014★ 3 cited
Adequate subgroups and indecomposable modules
Robert Guralnick, Florian Herzig, Pham Huu Tiep
The notion of adequate subgroups was introduced by Jack Thorne [59]. It is a weakening of the notion of big subgroups used by Wiles and Taylor in proving automorphy lifting theorem…
math.GR2014
Primitive Monodromy Groups of Genus at most Two
Daniel Frohardt, Robert Guralnick, Kay Magaard
We show that if the action of a classical group on a set of -spaces of its natural module is of genus at most two, then .