\(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\).

DOI10.1016/j.jpaa.2004.11.010zbMath1076.20008OpenAlexW2046609450MaRDI QIDQ555968

Behrooz Khosravi, Amir Khosravi

Publication date: 10 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.11.010

zbMATH Keywords

finite simple groupsprime graphssets of element ordersrecognizable groupsorder components

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (13)

A Note on the Adjacency Criterion for the Prime Graph and the Characterization of C_p(3) ⋮ Thompson's conjecture for some finite simple groups with connected prime graph. ⋮ The main supergraph of finite groups ⋮ Characterization of \(G_2(q)\), where \(2<q\equiv-1\pmod 3\), by order components. ⋮ Recognition by prime graph of \(^2D_{2^m+1}(3)\). ⋮ Characterizability of the group \(^2D_p(3)\) by its order components, where \(p\geq 5\) is a prime number not of the form \(2^m+1\). ⋮ Characterization of some finite groups by order and length of one conjugacy class. ⋮ Finite groups with the same conjugacy class sizes as a finite simple group ⋮ n-RECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUP PSL(2,q) ⋮ A CHARACTERIZATION OF B_n(q) BY THE SET OF ORDERS OF MAXIMAL ABELIAN SUBGROUPS ⋮ A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\). ⋮ Unnamed Item ⋮ Several quantitative characterizations of some specific groups

Cites Work

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• Prime graph components of finite groups
• A new characterization of the alternating groups
• Further reflections on Thompson's conjecture
• A new characterization of \(\text{PSL}_2(q)\)
• A new characterization of Suzuki-Ree group
• A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power
• On Thompson's conjecture
• A characterization of \(\text{PSL}(3,q)\) for \(q=2^m\)
• A characterization of \(\text{PSU}_3(q)\) for \(q>5\)
• A New Characterization ofPSL(p,q)
• Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group
• A NEW CHARACTERIZATION OF ALMOST SPORADIC GROUPS
• A characterisation of simple groupsPSL(5,q)
• A Characterization of PSU₁₁(q)
• Endliche Gruppen I
• Prime graph components of the simple groups of Lie type over the field of even characteristic
• Classical theory of algebraic numbers

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