English

On 3-generated 6-transposition groups

Group Theory 2024-06-21 v2

Abstract

We study 66-transposition groups, i.e. groups generated by a normal set of involutions DD, such that the order of the product of any two elements from DD does not exceed 66. We classify most of the groups generated by 33 elements from DD, two of which commute, and prove they are finite.

Keywords

Cite

@article{arxiv.2303.14144,
  title  = {On 3-generated 6-transposition groups},
  author = {Vsevolod A. Afanasev and Andrey Mamontov},
  journal= {arXiv preprint arXiv:2303.14144},
  year   = {2024}
}

Comments

12 pages

R2 v1 2026-06-28T09:32:36.243Z