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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2011 Volume 17, Number 4, Pages 142–159 (Mi timm760)

This article is cited in 27 papers

On finite tetraprimary groups

A. S. Kondrat'evab, I. V. Khramtsova

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University

Abstract: Chief factors of commutants of finite groups whose prime graph is disconnected and has exactly four vertices are described. As a corollary, finite simple groups recognizable by prime graph with exactly four vertices are determined.

Keywords: finite group, tetraprimary group, prime graph, recognition by prime graph.

UDC: 512.542

Received: 30.04.2010


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, 279, suppl. 1, 43–61

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