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

Trudy Inst. Mat. i Mekh. UrO RAN, 2014 Volume 20, Number 2, Pages 223–229 (Mi timm1071)

This article is cited in 7 papers

Recognizability of groups $E_7(2)$ and $E_7(3)$ by prime graph

A. S. Kondrat'evab

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

Abstract: It is proved that the groups $E_7(2)$ and $E_7(3)$ are recognized by prime graph. As corollary, it is completed the positive solution of the Mazurov's problem that every finite group whose the prime graph has at least three connected components is either recognizable by spectrum or isomorphic to $A_6$.

Keywords: finite group, simple group, spectrum, prime graph, recognition by spectrum or by prime graph.

UDC: 512.542

Received: 18.02.2014


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, 289, suppl. 1, 139–145

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