OD-Characterization of the Projective Special Linear Groups L2(q)

DOI10.1142/S1005386712000375zbMath1257.20012OpenAlexW2015443872MaRDI QIDQ2909081

Wujie Shi, Liangcai Zhang

Publication date: 29 August 2012

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

Full work available at URL: https://doi.org/10.1142/s1005386712000375

zbMATH Keywords

prime graphsprojective special linear groupssets of element ordersdegree patternsdegrees of verticesOD-characterizable groupsorder components

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) 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 (7)

A Characterization of Some Finite Simple Groups Through Their Orders and Degree Patterns ⋮ OD-characterization of some simple unitary groups ⋮ OD-characterization of almost simple groups related to \(L=\mathrm{PSL}(2,p^2)\) except \(\Aut(L)\) ⋮ 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 ⋮ Several quantitative characterizations of some specific groups

Cites Work

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• OD-characterization of alternating and symmetric groups of degrees 16 and 22.
• Prime graph components of finite groups
• Homology of a certain associative algebra
• OD-characterization of almost simple groups related to \(U_3(5)\).
• OD-characterization of all simple groups whose orders are less than \(10^8\).
• A Characterization of Some Finite Simple Groups Through Their Orders and Degree Patterns
• More on the OD-Characterizability of a Finite Group
• An Adjacency Criterion for the Prime Graph of a Finite Simple 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

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