Martin Bachrat'y

activity

20192026

collaborators

3 papers

math.GR2026

Enumeration of skew morphisms of cyclic $2$ -groups

Martin Bachratý

A skew morphism of a finite group $B$ is a permutation of $B$ fixing the identity and satisfying $φ (x y) = φ (x) φ^{i_{x}} (y)$ for some integers $i_{x}$ indexed by $x \in B$ . The enumerat…

math.GR2025

Recursive characterisation of skew morphisms of finite cyclic groups

Martin Bachratý, Michal Hagara

A skew morphism of a finite group $G$ is an element $φ$ of $Sym (G)$ preserving the identity element of $G$ and having the property that for each $a \in G$ there exists a no…

math.CO2019

Skew product groups for monolithic groups

Martin Bachratý, Marston Conder, Gabriel Verret

Skew morphisms, which generalise automorphisms for groups, provide a fundamental tool for the study of regular Cayley maps and, more generally, for finite groups with a complementa…

Enumeration of skew morphisms of cyclic 2-groups

Recursive characterisation of skew morphisms of finite cyclic groups

Skew product groups for monolithic groups

Enumeration of skew morphisms of cyclic $2$ -groups