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

2015/08/16 by Enrico Jabara, Jabara, Enrico
Engineering · Mathematics · #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Mathematics and Applications #graph theory and CDMA systems #math.GR

paper · pdf · doi:10.48550/arxiv.1508.03849

arxiv created 2015/08/16 · openalex publication_date 2015/08/16 · arxiv updated 2015/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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