Skew Product Groups for 2-Groups of Maximal Class

Wenjuan Luo; Hao Yu

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arXiv · 2309.03446

Skew Product Groups for 2-Groups of Maximal Class

Wenjuan Luo·Hao Yu

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Abstract

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 complementary factorisation $X = GY$, where $Y$ is cyclic and core-free in $X$. $X$ is called the skew product group associated with $G$ and $Y$. In this paper, we classify skew product groups for the maximal class 2-groups.

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Wenjuan Luo, Hao Yu. 2023-09-07. Skew Product Groups for 2-Groups of Maximal Class. https://arxiv.org/abs/2309.03446

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