Аннотация:
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 finite groups by Burnside and Alperin to periodic groups which contain a finite Sylow 2-subgroup.
The work of the first author is supported by RFBR and BRFBR (grant 20-51-00007; the work of the second author is supported by the Program of fundamental research SB RAS No. I.1.1. (grant No. 0314-2019-001)).
Поступила24 сентября 2020 г., опубликована 27 ноября 2020 г.
Образец цитирования:
D. V. Lytkina, V. D. Mazurov, “Fusion of 2-elements in periodic groups with finite Sylow 2-subgroups”, Сиб. электрон. матем. изв., 17 (2020), 1953–1958