X. Wei, W. Guo, D. V. Lytkina, V. D. Mazurov, “Characterization of locally finite simple groups of the type <nobr>$^3D_4$</nobr> over fields of odd characteristic in the class of periodic groups”, Sibirsk. Mat. Zh., 2018, Volume 59, Number 5,Pages <nobr>1013

This article is cited in 3 papers

Characterization of locally finite simple groups of the type $^3D_4$ over fields of odd characteristic in the class of periodic groups

X. Wei^a, W. Guo^b, D. V. Lytkina^cd, V. D. Mazurov^e

^a Department of Mathematics and Physics, Anhui Jianzhu University, Hefei, P.R.C.
^b School of Mathematical Sciences, University of Science and Technology of China, Hefei, P.R.C.
^c Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
^d Novosibirsk State University, Novosibirsk, Russia
^e Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We prove that a periodic group is locally finite, given that each finite subgroup of the group lies in a subgroup isomorphic to a finite simple group of Lie type $^3D_4$ over a field of odd characteristic.

Keywords: periodic group, period, locally finite group, group of Lie type, group saturated with a set of groups.

UDC: 512.542

MSC: 35R30

Received: 27.05.2018

DOI: 10.17377/smzh.2018.59.506