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
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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