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.
Periodic groups in which all involutions are odd transpositions.
Jabara Enrico
2019-01-01
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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