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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 6, Pages 1256–1262 (Mi smj1136)  
This article is cited in 12 scientific papers (total in 12 papers)

Recognition of the finite simple groups $F_4(2^m)$ by spectrum

A. V. Vasil'eva, M. A. Grechkoseevab, V. D. Mazurova, Kh. P. Chaoc, G. Yu. Chenc, W. Shid

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Mechanics and Mathematics Department
c Southwest China Normal University
d Soochow University
Full-text PDF (220 kB) Citations (12)
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Abstract: The spectrum of a finite group is the set of its element orders. A finite group $G$ is said to be recognizable by spectrum, if every finite group with the same spectrum as $G$ is isomorphic to $G$. The purpose of the paper is to prove that for every natural $m$ the finite simple Chevalley group $F_4(2^m)$ is recognizable by spectrum.
Keywords: recognition by spectrum, finite simple group, group of Lie type.
Received: 22.09.2004
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 6, Pages 1031–1035
DOI: https://doi.org/10.1023/B:SIMJ.0000048917.87625.c7
Bibliographic databases:
UDC: 519.542
Language: Russian
Citation: A. V. Vasil'ev, M. A. Grechkoseeva, V. D. Mazurov, Kh. P. Chao, G. Yu. Chen, W. Shi, “Recognition of the finite simple groups $F_4(2^m)$ by spectrum”, Sibirsk. Mat. Zh., 45:6 (2004), 1256–1262; Siberian Math. J., 45:6 (2004), 1031–1035
Citation in format AMSBIB
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\jour Siberian Math. J.
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\pages 1031--1035
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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