On 3-generated 6-transposition groups

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 fi...

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Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Afanasev, Vsevolod A, Mamontov, Andrey
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:2331-8422