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

• Published in: Український математичний журнал
• Date: 2014
• Main Authors: Babai, A., Khosravi, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166067
• 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.

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. Нехай...