Fusion of 2-elements in periodic groups with finite Sylow 2-subgroups. (English) Zbl 1454.20077

Lytkina, D. V.; Mazurov, V. D.

Sib. Èlektron. Mat. Izv. 17, 1953-1958 (2020).

Summary: This article contributes to the study of a fusion of subsets in finite 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.

MSC:

20F50	Periodic groups; locally finite groups
20E34	General structure theorems for groups

Keywords:

periodic group; Sylow subgroup; fusion

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