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math.GR2016
Fibers of automorphic word maps and an application to composition factors
Alexander Bors
In this paper, we study the fibers of "automorphic word maps", a certain generalization of word maps, on finite groups and on nonabelian finite simple groups in particular. As an a…
math.GR2016
A note on finite groups with an automorphism inverting or squaring a non-negligible fraction of elements
Alexander Bors
We show that for a finite group , the commuting probability of can be explicitly bounded from below in a nontrivial way by a function in the maximum fraction of elements inv…
math.GR2016
Finite groups with an automorphism inverting, squaring or cubing a non-negligible fraction of elements
Alexander Bors
There are various results in the literature which are part of the general philosophy that a finite group for which a certain parameter (for example, the number of conjugacy classes…