A note on cut groups of odd order

Nicola Grittini

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arXiv · 1911.13196

A note on cut groups of odd order

Nicola Grittini

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Abstract

A group $G$ is said to be cut if, for every $g \in G$, each generator of $< \! g \! >$ is conjugated to either $g$ or $g^{-1}$. It is conjectured that a Sylow 3-subgroup $P$ of a cut group $G$ is cut. We prove that this is true if $|G|$ is odd.

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Nicola Grittini. 2019-11-29. A note on cut groups of odd order. https://arxiv.org/abs/1911.13196

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