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

collaborators

Showing 2020Show all

3 papers · 1 filter

math.GR2020

Finite $2$ -groups with exactly three automorphism orbits

Alexander Bors, Stephen P. Glasby

We give a complete classification of the finite $2$ -groups $G$ for which the automorphism group $Aut (G)$ acting naturally on $G$ has three orbits. There are two infi…

math.GR2020

Finite transitive permutation groups with only small normaliser orbits

Alexander Bors, Michael Giudici

We study finite transitive permutation groups $G ⩽ Sym (Ω)$ such that all orbits of the conjugation action on $G$ of the normaliser of $G$ in $\operatorname{Sym…

math.GR2020

Finite groups with an affine map of large order

Alexander Bors

Let $G$ be a group. A function $G \to G$ of the form $x \mapsto x^{α} g$ for a fixed automorphism $α$ of $G$ and a fixed $g \in G$ is called an affine map of $G$ . In this paper,…

Finite 2-groups with exactly three automorphism orbits

Finite transitive permutation groups with only small normaliser orbits

Finite groups with an affine map of large order

Finite $2$ -groups with exactly three automorphism orbits