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

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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'ev^ab

^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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Linking options:

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https://www.mathnet.ru/eng/timm/v20/i2/p223

This publication is cited in the following 7 articles:

Natalia V. Maslova, Viktor V. Panshin, Alexey M. Staroletov, “On characterization by Gruenberg–Kegel graph of finite simple exceptional groups of Lie type”, European Journal of Mathematics, 9:3 (2023)
Peter J. Cameron, Natalia V. Maslova, “Criterion of unrecognizability of a finite group by its Gruenberg–Kegel graph”, Journal of Algebra, 607 (2022), 186
A. S. Kondrat'ev, “Recognizability by prime graph of the group ${^2}E_6(2)$”, J. Math. Sci., 259:4 (2021), 463–466
A. S. Kondrat'ev, “Finite groups with given properties of their prime graphs”, Algebra and Logic, 55:1 (2016), 77–82
M. A. Zvezdina, “Spectra of automorphic extensions of finite simple exceptional groups of Lie type”, Algebra and Logic, 55:5 (2016), 354–366
A. S. Kondratev, “O konechnykh gruppakh s nebolshim prostym spektrom, II”, Vladikavk. matem. zhurn., 17:2 (2015), 22–31
A. V. Vasil'ev, A. M. Staroletov, “Almost recognizability by spectrum of simple exceptional groups of Lie type”, Algebra and Logic, 53:6 (2015), 433–449

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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