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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 3, Pages 45–60 (Mi timm574)  
This article is cited in 12 scientific papers (total in 12 papers)

On the structure of finite groups isospectral to an alternating group

I. A. Vakula

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (259 kB) Citations (12)
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Abstract: It is proved that every finite group isospectral to an alternating group $A_n$ of degree $n$ greater than 21 has a chief factor isomorphic to an alternating group $A_k$, where $k\le n$ and the half-interval $(k,n]$ contains no primes.
Keywords: finite groups, alternating groups, spectrum of a group, isospectral groups, chief factors.
Received: 22.03.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 272, Issue 1, Pages S271–S286
DOI: https://doi.org/10.1134/S0081543811020192
Bibliographic databases:
Document Type: Article
UDC: 512.542.52
Language: Russian
Citation: I. A. Vakula, “On the structure of finite groups isospectral to an alternating group”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 3, 2010, 45–60; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S271–S286
Citation in format AMSBIB
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\paper On the structure of finite groups isospectral to an alternating group
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\issue 3
\pages 45--60
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages S271--S286
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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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    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    References:62
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