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arXiv · 1906.05901

Automorphism Groups for Semidirect Products of Cyclic Groups

Jasha Sommer-Simpson
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Abstract

Every semidirect product of groups $K\rtimes H$ has size $\left | K \right | \cdot \left | H\right |$, yet the size of such a group's automorphism group varies with the chosen action of $H$ on $K$. This paper will explore groups of the form $\text{Aut}(K\rtimes H)$, considering especially the case where $H$ and $K$ are cyclic. Only finite groups will be considered.

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Jasha Sommer-Simpson. 2019-06-13. Automorphism Groups for Semidirect Products of Cyclic Groups. https://arxiv.org/abs/1906.05901

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