Groups with the same prime graph as the simple group \(D_n(5)\).

DOI10.1007/s11253-014-0963-2zbMath1311.20012OpenAlexW2019172281MaRDI QIDQ2260832

Behrooz Khosravi, Azam Babai

Publication date: 12 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-014-0963-2

zbMATH Keywords

prime graphssets of element ordersquasirecognizable groupsrecognition of finite simple groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (1)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph

Cites Work

• Characterization of the finite simple groups by spectrum and order.
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• NCF-distinguishablity by prime graph of \(\text{PGL}(2,p)\) where \(p\) is a prime
• Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\).
• Recognition by prime graph of \(^2D_{2^m+1}(3)\).
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• CHARACTERIZATION BY PRIME GRAPH OF PGL(2, p^k) WHERE p AND k > 1 ARE ODD
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• The Prime Graph of a Sporadic Simple Group
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