OD-characterization of almost simple groups related to \(U_3(5)\).

DOI10.1007/S10114-010-7613-XzbMath1193.20013OpenAlexW1977048706MaRDI QIDQ2266876

Liangcai Zhang, Wujie Shi

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7613-x

zbMATH Keywords

almost simple groupsprime graphssets of element ordersdegree patternsdegrees of verticesorder components

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 (11)

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 \(p+5\). ⋮ 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 Some Projective Special Linear Groups Over the Binary Field and Their Automorphism Groups

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