OD-Characterization of Certain Finite Groups Having Connected Prime Graphs

DOI10.1142/S1005386710000143zbMath1191.20020OpenAlexW2027501064MaRDI QIDQ3656796

Ali Reza Moghaddamfar, A. R. Zokayi

Publication date: 14 January 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/1701/S1005386710000143.html

zbMATH Keywords

finite groupsprime graphsdegree patternsOD-characterizations

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)

Related Items (19)

Characterization of Aut(J₂) and Aut(M^cL) by Their Non-commuting Graphs ⋮ A Characterization of Some Finite Simple Groups Through Their Orders and Degree Patterns ⋮ OD-Characterization of the Projective Special Linear Groups L₂(q) ⋮ OD-characterization of some simple unitary groups ⋮ Recognizing finite groups through order and degree patterns. ⋮ Recognizing alternating groups \(A_{p+3}\) for certain primes \(p\) by their orders and degree patterns. ⋮ Groups with the same order and degree pattern. ⋮ OD-characterization of alternating and symmetric groups of degree \(p+5\). ⋮ Finite groups having the same prime graph as the group \(A_{10}\). ⋮ 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 the automorphism groups of \(O^\pm_{10}(2)\). ⋮ OD-characterization of certain four dimensional linear groups with related results concerning degree patterns. ⋮ OD-characterization of almost simple groups related to \(U_3(5)\). ⋮ OD-characterization of all simple groups whose orders are less than \(10^8\). ⋮ More on the OD-Characterizability of a Finite Group ⋮ 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

• Prime graph components of finite groups
• Recognizing Finite Groups Through Order and Degree Pattern
• OD-Characterization of Simple K₄-Groups
• A Characterization of Finite Simple Groups by the Degrees of Vertices of Their Prime Graphs

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