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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2011 Volume 52, Number 2, Pages 340–349 (Mi smj2201)

This article is cited in 7 papers

On the periodic groups saturated by direct products of finite simple groups

D. V. Lytkina

Novosibirsk State University, Novosibirsk, Russia

Abstract: We prove the local finiteness of a periodic group $G$ saturated by direct products of an elementary abelian 2-group of fixed order and the simple groups $L_2(q)$ under condition that $G$ contains an element of order 4.

Keywords: group, saturated group, simple group, periodic group.

UDC: 512.5

Received: 13.09.2010


 English version:
Siberian Mathematical Journal, 2011, 52:2, 267–273

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© Steklov Math. Inst. of RAS, 2026