Characterizations of the simple group \(^2D_n(3)\) by prime graph and spectrum.

DOI10.1007/s00605-011-0336-yzbMath1272.20006OpenAlexW2241821912MaRDI QIDQ691040

Ali Iranmanesh, Mahnaz Foroudi Ghasemabadi, Neda Ahanjideh

Publication date: 29 November 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0336-y

zbMATH Keywords

finite simple groupsprime graphssets of element ordersrecognizable groupsspectra of finite 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 (2)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ On finite groups isospectral to simple classical groups.

Cites Work

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• Uniqueness of the prime graph of \(L_{16}(2)\).
• A characterization of the finite simple group \(L_{16}(2)\) by its prime graph.
• Groups with the same non-commuting graph.
• Recognition by spectrum of the groups \(^2D_{2^m+1}(3)\).
• 2-quasirecognizability of the simple groups \(B_n(p)\) and \(C_n(p)\) by prime graph.
• Finite simple groups with narrow prime spectrum.
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• A CHARACTERIZATION OF B_n(q) BY THE SET OF ORDERS OF MAXIMAL ABELIAN SUBGROUPS
• Finite simple unisingular groups of Lie type
• Recognition of finite groups by the prime graph

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