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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2017 Volume 10, Issue 3, Pages 287–292 (Mi jsfu554)

Characterizations of simple linear groups in the class of periodic groups

Daria V. Lytkinaab, Victor D. Mazurovc

a Siberian State University of Telecommunications and Informtaion Sciencies, Kirova, 86, Novosibirsk, 630102
b Novosibirsk State University, Pirogova, 2, Novosibirsk, 630090, Russia
c Sobolev Institute of Mathematics SB RAS, Akad. Koptyug av., 4, Novosibirsk, 630090, Russia

Abstract: This paper is a survey of some results about the structure of periodic groups saturated with finite simple groups of Lie type. It is based on a talk of authors given on the XI workshop on Group theory dedicated to the 70-th anniversary of A. Yu. Olshanskiy (Krasnoyarsk, July 27–August 2, 2016).

Keywords: linear group, periodic group, locally finite group.

UDC: 512.54

Received: 26.10.2016
Received in revised form: 20.12.2016
Accepted: 20.03.2017

Language: English

DOI: 10.17516/1997-1397-2017-10-3-287-292



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