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arXiv · 2303.14144

On 3-generated 6-transposition groups

Vsevolod A. Afanasev·Andrey Mamontov
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Abstract

We study $6$-transposition groups, i.e. groups generated by a normal set of involutions $D$, such that the order of the product of any two elements from $D$ does not exceed $6$. We classify most of the groups generated by $3$ elements from $D$, two of which commute, and prove they are finite.

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Vsevolod A. Afanasev, Andrey Mamontov. 2023-03-24. On 3-generated 6-transposition groups. https://arxiv.org/abs/2303.14144

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