On 3-generated 6-transposition groups

Authors

  • Vsevolod A. Afanasev Sobolev Institute of Mathematics, Novosibirsk, Russia.
  • Andrey Mamontov Sobolev Institute of Mathematics, Novosibirsk, Russia.

Keywords:

6-transposition group

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.

Published

2025-03-03

Issue

Vol. 21 No. 2 (2024): Vol. 21, No. 2, 2024

Section

Mathematical logic, algebra and number theory