Periodic Groups Whose All Involutions are Odd Transpositions

Аннотация

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 D₈, the dihedral group of order 8.