Skew-morphisms of cyclic $p$-groups

István Kovács; Roman Nedela

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arXiv · 1511.07252

Skew-morphisms of cyclic $p$-groups

István Kovács·Roman Nedela

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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.

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BibTeX RIS

István Kovács, Roman Nedela. 2015-11-23. Skew-morphisms of cyclic $p$-groups. https://arxiv.org/abs/1511.07252

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