3 papers
math.GR2017
Approximability of word maps by homomorphisms
Alexander Bors
Generalizing a recent result of Mann, we show that there is an explicit function such that for every reduced word , say in va…
math.GR2017
Fibers of word maps and the multiplicities of nonabelian composition factors
Alexander Bors
Call a reduced word multiplicity-bounding if and only if a finite group on which the word map of has a fiber of positive proportion can only contain each nonabelian fin…
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…