Fusion of 2-elements in periodic groups with finite Sylow 2-subgroups

摘要

This article contributes to the study of a fusion of subsets in nite Sylow 2-subgroups of periodic groups. We extend well-known theorems on fusion of subsets in Sylow subgroups of nite groups by Burnside and Alperin to periodic groups which contain a nite Sylow 2-subgroup.