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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1953–1958
DOI: https://doi.org/10.33048/semi.2020.17.131 (Mi semr1325) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

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

D. V. Lytkina, V. D. Mazurov

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.131
Abstract: 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.
Keywords: periodic group, Sylow subgroup, fusion.
Funding agency Grant number
Russian Foundation for Basic Research 20-51-00007
Siberian Branch of Russian Academy of Sciences I.1.1. (grant No. 0314-2019-001)
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)).
Received September 24, 2020, published November 27, 2020
Bibliographic databases:
Document Type: Article
UDC: 519.44
MSC: 20F50
Language: English
Citation: D. V. Lytkina, V. D. Mazurov, “Fusion of $2$-elements in periodic groups with finite Sylow $2$-subgroups”, Sib. Èlektron. Mat. Izv., 17 (2020), 1953–1958
Citation in format AMSBIB
\Bibitem{LytMaz20}
\by D.~V.~Lytkina, V.~D.~Mazurov
\paper Fusion of $2$-elements in periodic groups with finite Sylow $2$-subgroups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1953--1958
\mathnet{http://mi.mathnet.ru/semr1325}
\crossref{https://doi.org/10.33048/semi.2020.17.131}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000593965000001}
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