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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 229–237
DOI: https://doi.org/10.33048/smzh.2019.60.119 (Mi smj3072) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Periodic groups whose all involutions are odd transpositions

E. Jabaraa, A. Zakavibc

a Department of Philosophy and Cultural Heritage, Ca' Foscari University of Venice, Venice, Italy
b Department of Mathematics, University of Isfahan, Isfahan, Iran
c School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
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DOI: https://doi.org/10.33048/smzh.2019.60.119
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 $Sz(2^{2m+1})$ are recognizable by their spectrum in the class of periodic groups without subgroups isomorphic to $D_8$, the dihedral group of order $8$.
Keywords: spectrum of a group, recognizability, Suzuki simple groups, involution, odd transposition.
Funding agency Grant number
School of Mathematics, Institute for Research in Fundamental Sciences 95050219
The second author was supported in part by grant No. 95050219 from School of Mathematics, Institute for Research in Fundamental Sciences (IPM).
Received: 13.12.2017
Revised: 26.12.2017
Accepted: 27.12.2017
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 178–184
DOI: https://doi.org/10.1134/S0037446619010191
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 35R30
Language: Russian
Citation: E. Jabara, A. Zakavi, “Periodic groups whose all involutions are odd transpositions”, Sibirsk. Mat. Zh., 60:1 (2019), 229–237; Siberian Math. J., 60:1 (2019), 178–184
Citation in format AMSBIB
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\paper Periodic groups whose all involutions are odd transpositions
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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