OD-characterization of all finite nonabelian simple groups with orders having prime divisors at most 13.

DOI10.1134/S0037446614040089zbMath1320.20015MaRDI QIDQ483473

P. Nosratpour, Mohammad-Reza Darafsheh

Publication date: 17 December 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsfinite simple groups of Lie typeprime graphssets of element ordersrecognizable groupsspectra of finite groupsdegree patternsdegrees of verticesorder componentssets of order componentsOD-characterizabilityOD-recognition 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) Finite simple groups and their classification (20D05)

Cites Work

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• Recognizing alternating groups \(A_{p+3}\) for certain primes \(p\) by their orders and degree patterns.
• Simple groups which are 2-fold OD-characterizable.
• OD-characterization of alternating and symmetric groups of degrees 16 and 22.
• Prime graph components of finite groups
• OD-characterization of almost simple groups related to \(U_3(5)\).
• Finite simple groups with narrow prime spectrum.
• OD-characterization of all simple groups whose orders are less than \(10^8\).
• A Characterization of Some Finite Simple Groups Through Their Orders and Degree Patterns
• More on the OD-Characterizability of a Finite Group
• Recognizing Finite Groups Through Order and Degree Pattern
• Calculating the set of orders of elements in the finite linear groups
• OD-Characterization of Simple K₄-Groups
• OD-Characterization of Certain Finite Groups Having Connected Prime Graphs
• Groups with complete prime graph connected components
• A Characterization of Finite Simple Groups by the Degrees of Vertices of Their Prime Graphs

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