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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.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 .