A remark on {2,3}-groups with no elements of order six

Enrico Jabara

A remark on {2,3}-groups with no elements of order six

Group Theory 2015-08-18 v1

Authors: Enrico Jabara

Abstract

We describe $\{2,3\}$ -groups in which the order of a product of any two elements of orders at most $4$ does not exceed $9$ and the centralizer of every involution is a locally cyclic $2$ -subgroup. In particular, we will prove that these groups are locally finite.

Keywords

{2,3}-groups locally finite groups involutions centralizers locally cyclic 2-subgroups element orders group products

Cite

@article{arxiv.1508.03849,
  title  = {A remark on {2,3}-groups with no elements of order six},
  author = {Enrico Jabara},
  journal= {arXiv preprint arXiv:1508.03849},
  year   = {2015}
}

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