A CHARACTERIZATION OF Bn(q) BY THE SET OF ORDERS OF MAXIMAL ABELIAN SUBGROUPS

DOI10.1142/S0218196709005020zbMath1182.20014OpenAlexW1991319966MaRDI QIDQ3636023

Neda Ahanjideh, Ali Iranmanesh

Publication date: 30 June 2009

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196709005020

zbMATH Keywords

finite simple groupsgroups of Lie typeprime graphsorders of maximal Abelian subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (2)

A characterization of \(^2F_4(q)\) by the set of orders of maximal abelian subgroups. ⋮ Characterizations of the simple group \(^2D_n(3)\) by prime graph and spectrum.

Cites Work

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• \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\).
• Prime graph components of finite groups
• A Diophantine equation which arises in the theory of finite groups
• Further reflections on Thompson's conjecture
• A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power
• A characterization of \(\text{PSL}(3,q)\) for \(q=2^m\)
• The Sylow 2-subgroups of the finite classical groups
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• A characterization ofL n (q) by the normalizers' orders of their sylow subgroups
• Endliche Gruppen I

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