Groups with the same prime graph as the simple group Dn(5)

Let G be a finite group. The prime graph of G is denoted by Γ(G). Let G be a finite group such that Γ(G)=Γ(Dn(5)), where n≥6. In the paper, as the main result, we show that if n is odd, then G is recognizable by the prime graph and if n is even, then G is quasirecognizable by the prime graph.

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Bibliographic Details
Date:2014
Main Authors: Babai, A., Khosravi, B.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166067
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Groups with the same prime graph as the simple group Dn(5) / A. Babai, B. Khosravi // Український математичний журнал. — 2014. — Т. 66, № 5. — С. 598–608. — Бібліогр.: 33 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine