The classification of the finite groups whose abelian subgroups of equal prime power order are conjugate

Robert W. van der Waall

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arXiv · 2110.01520

The classification of the finite groups whose abelian subgroups of equal prime power order are conjugate

Robert W. van der Waall

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Abstract

Let $G$ be a finite group and assume $p$ is a prime dividing the order of $G$. Suppose for any such $p$, that every two abelian $p$-subgroups of $G$ of equal order are conjugate. The structure of such a group $G$ has been settled in this article.

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Robert W. van der Waall. 2021-09-22. The classification of the finite groups whose abelian subgroups of equal prime power order are conjugate. https://arxiv.org/abs/2110.01520

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