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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 2, Pages 223–229 (Mi timm1071)  
This article is cited in 7 scientific papers (total 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
Full-text PDF (161 kB) Citations (7)
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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.
Received: 18.02.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 289, Issue 1, Pages 139–145
DOI: https://doi.org/10.1134/S0081543815050120
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. S. Kondrat'ev, “Recognizability of groups $E_7(2)$ and $E_7(3)$ by prime graph”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 2, 2014, 223–229; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 139–145
Citation in format AMSBIB
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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