A NEW CHARACTERIZATION OF ALMOST SPORADIC GROUPS

DOI10.1142/S021949880200015XzbMath1033.20013MaRDI QIDQ4416622

Behrooz Khosravi, Amir Khosravi

Publication date: 11 August 2003

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsautomorphism groupsprime graphsorder componentsalmost sporadic simple groups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (9)

A New Characterization ofPSL(p,q) ⋮ The main supergraph of finite groups ⋮ Recognizing Finite Groups Through Order and Degree Pattern ⋮ A characterization of automorphism groups of simple \(K_3\)-groups. ⋮ ON THOMPSON'S CONJECTURE FOR ALMOST SPORADIC SIMPLE GROUPS ⋮ Characterizability of \(\text{PSU}(p+1,q)\) by its order component(s). ⋮ \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\). ⋮ The number of isomorphism classes of finite groups with the set of order components of \(C_4(q)\). ⋮ Certain properties of the power graph associated with a finite group

Cites Work

• Prime graph components of finite groups
• Further reflections on Thompson's conjecture
• A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power
• On Thompson's conjecture
• Automorphisms of Finite Linear Groups
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group
• The diameter of the prime graph of a finite group

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