OD-characterization of alternating and symmetric groups of degrees 16 and 22.

DOI10.1007/s11464-009-0037-1zbMath1207.20012OpenAlexW2079230635MaRDI QIDQ1034899

A. R. Zokayi, Ali Reza Moghaddamfar

Publication date: 9 November 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-009-0037-1

zbMATH Keywords

symmetric groupsfinite groupsalternating 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) 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), OD-characterization of some simple unitary groups, OD-characterization of alternating groups \(A_{p+d}\), 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 \(p+5\)., 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 the automorphism groups of \(O^\pm_{10}(2)\)., OD-characterization of certain four dimensional linear groups with related results concerning degree patterns., More on the OD-Characterizability of a Finite Group, 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
• Prime graph components of finite almost simple groups
• OD-characterization of all simple groups whose orders are less than \(10^8\).
• More on the OD-Characterizability of a Finite Group
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item