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It has been shown by Lubotzky in [10] that the set of verbal images of a fixed non-abelian finite simple group G is precisely the set of automorphism invariant subsets of G. Here, we use similar methods to those of Lubotzky to determine the verbal images of certain almost simple groups and quasisimple groups.

IMAGES OF WORD MAPS IN ALMOST SIMPLE GROUPS AND QUASISIMPLE GROUPS