Alexander Bors

activity

20142023

most citedClassification of finite group automorphisms with a large cycle

4 citations · 14 across the 21 of their papers we have counts for

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Showing 2014 · math.GRShow all

3 papers · 2 filters

math.GR2014★ 1 cited

On the endomorphism monoids of some groups with abelian automorphism group

Alexander Bors

We investigate the endomorphism monoids of certain finite $p$ -groups of order $p^{8}$ first studied by Jonah and Konvisser in 1975 as examples for finite $p$ -groups with abelian auto…

math.GR2014★ 4 cited

Classification of finite group automorphisms with a large cycle

Alexander Bors

Let $ψ$ be a permutation of a finite set $X$ . We define $λ (ψ)$ to be the largest fraction of elements of $X$ lying on a single cycle of $ψ$ . For a finite group $G$ , we define $λ(G)…

math.GR2014★ 1 cited

On the dynamics of endomorphisms of finite groups

Alexander Bors

Aiming at a better understanding of finite groups as finite dynamical systems, we show that by a version of Fitting's Lemma for groups, each state space of an endomorphism of a fin…