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Siberian Mathematical Journal

, Volume 60, Issue 1, pp 178–184 | Cite as

Periodic Groups Whose All Involutions are Odd Transpositions

  • E. JabaraEmail author
  • A. ZakaviEmail author
Article
  • 3 Downloads

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.

Keywords

spectrum of a group recognizability Suzuki simple groups involution odd transposition 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Department of Philosophy and Cultural HeritageCa’ Foscari University of VeniceVeniceItaly
  2. 2.Department of MathematicsUniversity of IsfahanIsfahanIran
  3. 3.School of MathematicsInstitute for Research in Fundamental Sciences (IPM)TehranIran

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