B. Li, D. V. Lytkina, “Sylow <nobr>$2$</nobr>-subgroups of the periodic groups saturated with finite simple groups”, Sibirsk. Mat. Zh., 2016, Volume 57, Number 6,Pages <nobr>1313

This article is cited in 8 papers

Sylow $2$-subgroups of the periodic groups saturated with finite simple groups

B. Li^a, D. V. Lytkina^bc

^a School of Applied Mathematics, Chengdu University of Information Technology, Chengdu, P.R. China
^b Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
^c Novosibirsk State University, Novosibirsk, Russia

Abstract: We prove that every $2$-subgroup of a periodic group saturated with groups of Lie type over fields of odd characteristics whose Lie ranks are bounded as a whole is Chernikov. In particular, every such group is locally finite.

Keywords: group saturated with a set of groups, periodic group, Sylow subgroup.

UDC: 512.542

Received: 11.06.2016

DOI: 10.17377/smzh.2016.57.609