The number of isomorphism classes of finite groups with the set of order components of \(C_4(q)\).

DOI10.1007/S00200-004-0166-4zbMath1067.20014OpenAlexW2024783460MaRDI QIDQ1772242

Behnam Khosravi, Bahman Khosravi, Behrooz Khosravi

Publication date: 15 April 2005

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-004-0166-4

zbMATH Keywords

finite simple groupsprime graphssets of element ordersorder components

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)

Characterizability of the group \(^2D_p(3)\) by its order components, where \(p\geq 5\) is a prime number not of the form \(2^m+1\). ⋮ A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\).

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
• 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)
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group
• A NEW CHARACTERIZATION OF ALMOST SPORADIC GROUPS
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