On 3-generated 6-transposition groups

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 finite.

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Hauptverfasser: Afanasev, Vsevolod A, Mamontov, Andrey
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Group Theory
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Zusammenfassung: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.
DOI:10.48550/arxiv.2303.14144