Recognizing alternating groups \(A_{p+3}\) for certain primes \(p\) by their orders and degree patterns.

DOI10.1007/s11464-010-0011-yzbMath1205.20029OpenAlexW1993005323MaRDI QIDQ610723

A. A. Hoseini, Ali Reza Moghaddamfar

Publication date: 10 December 2010

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

Full work available at URL: https://doi.org/10.1007/s11464-010-0011-y

zbMATH Keywords

finite groupsautomorphism 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) Finite simple groups and their classification (20D05) 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 some simple unitary groups ⋮ OD-characterization of alternating groups \(A_{p+d}\) ⋮ Recognizing finite groups through order and degree patterns. ⋮ Groups with the same order and degree pattern. ⋮ OD-characterization of alternating and symmetric groups of degree \(p+5\). ⋮ 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. ⋮ 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

• OD-characterization of alternating and symmetric groups of degrees 16 and 22.
• Prime graph components of finite groups
• The set of orders of elements in a finite group
• Prime graph components of finite almost simple 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 \(10^8\).
• 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
• CHARACTERIZATION OF THE PROJECTIVE GENERAL LINEAR GROUPS PGL(2,q) BY THEIR ORDERS AND DEGREE PATTERNS
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