A. A. Shlyopkin, I. V. Sabodakh, “On Shunkov group saturated with <nobr>$GL_2(p^n)$</nobr>”, Sib. Èlektron. Mat. Izv., 2014, Volume 11,Pages <nobr>734

This article is cited in 2 papers

Mathematical logic, algebra and number theory

On Shunkov group saturated with $GL_2(p^n)$

A. A. Shlyopkin^a, I. V. Sabodakh^b

^a Siberian Federal University, Krasnoyarsk
^b M. F. Reshetnev Siberian State Aerospace University

Abstract: We prove, that the periodic Shunkov group, saturated by full linear groups of dimension two over finite fields of the fixed characteristic, is isomorphic to full linear group of dimension two over locally finite field.

Keywords: Group saturated with a set of groups.

UDC: 512.54

MSC: 20K01

Received June 19, 2014, published September 16, 2014