Email this article Periodic Groups Whose All Involutions are Odd Transpositions
- Authors: Jabara E.1, Zakavi A.2,3
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Affiliations:
- Department of Philosophy and Cultural Heritage
- Department of Mathematics
- School of Mathematics
- Issue: Vol 60, No 1 (2019)
- Pages: 178-184
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172283
- DOI: https://doi.org/10.1134/S0037446619010191
- ID: 172283
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Abstract
We prove the local finiteness of some periodic groups generated by odd transpositions. As a consequence of our results we will show that the Suzuki simple groups Sz(22m+1) are recognizable by their spectrum in the class of periodic groups without subgroups isomorphic to D8, the dihedral group of order 8.
About the authors
E. Jabara
Department of Philosophy and Cultural Heritage
Author for correspondence.
Email: jabara@unive.it
Italy, Venice
A. Zakavi
Department of Mathematics; School of Mathematics
Author for correspondence.
Email: a.zakavi60@yahoo.com
Iran, Islamic Republic of, Isfahan; Tehran
