This article is cited in 7 papers

Mathematical logic, algebra and number theory

About Shunkov groups, saturated with linear and unitary groups of dimension 3

A. A. Shlepkin

Siberian Federal University, pr. Svobodny, 79, 660041, Krasnoyarsk, Russia

Abstract: We prove that a Shunkov group saturated with simple linear and unitary groups of dimension $3$ over fields of odd orders has a periodic part isomorphic to $U_3(Q),$ or $L_3(Q)$ for some locally finite field $Q $ of odd characteristic.

Keywords: Shunkov group, groups, saturated with the set of groups.

UDC: 512.54

MSC: 20K01

Received January 30, 2015, published May 12, 2016

DOI: 10.17377/semi.2016.13.029

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