This article is cited in 1 paper

Periodic groups whose all involutions are odd transpositions

E. Jabara^a, A. Zakavi<sup>bc

a</sup> 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

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.

UDC: 512.54

MSC: 35R30

Received: 13.12.2017
Revised: 26.12.2017
Accepted: 27.12.2017

DOI: 10.33048/smzh.2019.60.119

 English version: Siberian Mathematical Journal, 2019, 60:1, 178–184

Bibliographic databases:

• 
• 
•