Alexander Bors

activity

20162023

most citedFunctional graphs of generalized cyclotomic mappings of finite fields

1 citations · 2 across the 9 of their papers we have counts for

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Showing 2017 · math.GRShow all

5 papers · 2 filters

math.GR2017

Worst-case approximability of functions on finite groups by endomorphisms and affine maps

Alexander Bors

We study the maximum Hamming distance (or rather, the complementary notion of "minimum approximability") of a general function on a finite group $G$ to either of the sets $\operato…

math.GR2017

Approximability of word maps by homomorphisms

Alexander Bors

Generalizing a recent result of Mann, we show that there is an explicit function $f : (0, 1] \to (0, 1]$ such that for every reduced word $w$ , say in $d$ va…

math.GR2017

Computation of orders and cycle lengths of automorphisms of finite solvable groups

Alexander Bors

Let $G$ be a finite solvable group, given through a refined consistent polycyclic presentation, and $α$ an automorphism of $G$ , given through its images of the generators of $G$ . I…

math.GR2017

Nilpotency and the number of word maps of a finite group

Alexander Bors

For a finite group $G$ and a non-negative integer $d$ , denote by $Ω_{d} (G)$ the number of functions $G^{d} \to G$ that are induced by substitution into a word with variables amo…

math.GR2017

Fibers of word maps and the multiplicities of nonabelian composition factors

Alexander Bors

Call a reduced word $w$ multiplicity-bounding if and only if a finite group on which the word map of $w$ has a fiber of positive proportion $ρ$ can only contain each nonabelian fin…