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.
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The second author was supported in part by Grant No. 95050219 from the School of Mathematics and the Institute for Research in Fundamental Sciences (IPM).
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Translated from Sibirskii Matematicheskii Zhurnal, vol. 60, no. 1, pp. 229–237, January–February, 2019; DOI: 10.17377/smzh.2019.60.119.
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Jabara, E., Zakavi, A. Periodic Groups Whose All Involutions are Odd Transpositions. Sib Math J 60, 178–184 (2019). https://doi.org/10.1134/S0037446619010191
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DOI: https://doi.org/10.1134/S0037446619010191