More on the OD-Characterizability of a Finite Group

DOI10.1142/S1005386711000514zbMath1235.20017OpenAlexW2034866152MaRDI QIDQ3094738

S. Rahbariyan, Ali Reza Moghaddamfar

Publication date: 25 October 2011

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://worldscinet.com/ac/18/1804/S1005386711000514.html

zbMATH Keywords

symmetric groupsfinite simple groupsalternating groupsprime graphssets of element ordersrecognizable groupsfinite almost simple groupsdegree patternsorder componentsOD-characterizability

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

A Characterization of Some Finite Simple Groups Through Their Orders and Degree Patterns ⋮ OD-Characterization of the Projective Special Linear Groups L₂(q) ⋮ RECOGNIZING SOME FINITE SIMPLE GROUPS BY NONCOMMUTING GRAPH ⋮ OD-characterization of some simple unitary groups ⋮ OD-characterization of alternating groups \(A_{p+d}\) ⋮ Groups with the same order and degree pattern. ⋮ Recognition by noncommuting graph of finite simple groups \(L_4(q)\). ⋮ On alternating and symmetric groups which are quasi OD-characterizable ⋮ OD-characterization of all finite nonabelian simple groups with orders having prime divisors at most 13. ⋮ RECOGNIZING BY ORDER AND DEGREE PATTERN OF SOME PROJECTIVE SPECIAL LINEAR GROUPS ⋮ OD-characterization of certain four dimensional linear groups with related results concerning degree patterns. ⋮ OD-characterization of alternating and symmetric groups of degrees 16 and 22. ⋮ OD-Characterization of Some Projective Special Linear Groups Over the Binary Field and Their Automorphism Groups ⋮ Several quantitative characterizations of some specific groups

Cites Work

• Recognizing alternating groups \(A_{p+3}\) for certain primes \(p\) by their orders and degree patterns.
• OD-characterization of alternating and symmetric groups of degrees 16 and 22.
• Prime graph components of finite groups
• Recognition of some symmetric groups by the set of the order of their elements.
• OD-characterization of all simple groups whose orders are less than \(10^8\).
• Recognizing Finite Groups Through Order and Degree Pattern
• OD-Characterization of Simple K₄-Groups
• OD-Characterization of Certain Finite Groups Having Connected Prime Graphs
• A Characterization of Finite Simple Groups by the Degrees of Vertices of Their Prime Graphs

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