Periodic Groups Whose All Involutions are Odd Transpositions
- Autores: Jabara E.1, Zakavi A.2,3
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Afiliações:
- Department of Philosophy and Cultural Heritage
- Department of Mathematics
- School of Mathematics
- Edição: Volume 60, Nº 1 (2019)
- Páginas: 178-184
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172283
- DOI: https://doi.org/10.1134/S0037446619010191
- ID: 172283
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Resumo
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.
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Sobre autores
E. Jabara
Department of Philosophy and Cultural Heritage
Autor responsável pela correspondência
Email: jabara@unive.it
Itália, Venice
A. Zakavi
Department of Mathematics; School of Mathematics
Autor responsável pela correspondência
Email: a.zakavi60@yahoo.com
Irã, Isfahan; Tehran