On \(\{2, 3\}\)-groups without elements of order 6
type: Item
instance of: scholarly article
title: On \(\{2, 3\}\)-groups without elements of order 6
zbMATH Open document ID: 1370.20034
DOI: 10.1134/S0037446616040169
author: Enrico Jabara
published in: Siberian Mathematical Journal
publication date: 2016-12-01T00:00:00Z
full work available at URL: https://arxiv.org/abs/1508.03849
review text: The author described \(\{2, 3\}\)-groups in which the order of a product of every two elements of orders at most 4 does not exceed 9 (Hypothesis H) and the centralizer of every involution is a locally cyclic 2-subgroup. In particular, he proved that these groups are locally finite. Using this results, the author was able to refine the results from \textit{D. V. Lytkina} and \textit{V. D. Mazurov} [Algebra Logic 53, No. 6, 463--470 (2015; Zbl 1326.20042); translation from Algebra Logika 53, No. 6, 710--721 (2014)].
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20E25
Mathematics Subject Classification ID: 20E34
zbMATH DE Number: 6658532
zbMATH Keywords: \(\{2, 3\}\)-group
zbMATH Keywords: locally finite group
reviewed by: Igor Subbotin
describes a project that uses: GAP
MaRDI profile type: Publication
arXiv ID: 1508.03849
cites work: \(\{2,3\}\)-groups with no elements of order 6.
cites work: Groups of exponent 60 with prescribed orders of elements
cites work: Q3941589
OpenAlex ID: W2512516666
description: scientific article; zbMATH DE number 6658532