Some word maps that are non-surjective on infinitely many finite simple groups

Abstract

We provide the first examples of words in the free group of rank 2 which are not proper powers and for which the corresponding word maps are non-surjective on an infinite family of finite non-abelian simple groups.

Mildly revised version to appear in Bull. London Math. Soc

Cited by in corpus (1)

• Word images in symmetric and classical groups of Lie type are dense