This article is cited in 4 papers

Shunkov groups saturated with general linear groups

A. A. Shlepkin

Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia

Abstract: We prove that if a periodic Shunkov group is saturated with degree 2 general linear groups over finite fields then it is isomorphic to the degree 2 general linear group over a suitable locally finite field.

Keywords: saturation, groups saturated with a prescribed set of groups.

UDC: 512.54

Received: 16.02.2015

DOI: 10.17377/smzh.2016.57.116

 English version: Siberian Mathematical Journal, 2016, 57:1, 174–184

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