Skew-morphisms of cyclic $p$-groups

István Kovács; Roman Nedela

Skew-morphisms of cyclic $p$-groups

Group Theory 2015-11-24 v1

Authors: István Kovács , Roman Nedela

Abstract

Let $G$ be a finite group having a factorisation $G=AB$ into subgroups $A$ and $B$ with $B$ cyclic and $A\cap B=1,$ and let $b$ be a generator of $B$ . The associated skew-morphism is the bijective mapping $f:A \to A$ well defined by the equality $baB=f(a)B$ where $a\in A$ . In this paper, we shall classify all skew-morphisms of cyclic $p$ -groups where $p$ is an odd prime.

Keywords

finite groups wreath product of groups finite group theory

Cite

@article{arxiv.1511.07252,
  title  = {Skew-morphisms of cyclic $p$-groups},
  author = {István Kovács and Roman Nedela},
  journal= {arXiv preprint arXiv:1511.07252},
  year   = {2015}
}

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