OD-characterization of the automorphism groups of \(O^\pm_{10}(2)\).

DOI10.1007/S13226-012-0011-6zbMath1256.20023OpenAlexW2010267966MaRDI QIDQ691667

Lili Wang, Gui-Yun Chen, Yan Xiong Yan

Publication date: 3 December 2012

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-012-0011-6

zbMATH Keywords

finite groupsorthogonal groupsautomorphism groupsspectrasimple groupsprime graphssets of element ordersdegree patternsdegrees of verticesorder componentsOD-characterizability

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of abstract finite groups (20D45) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (7)

Recognizing finite groups through order and degree patterns. ⋮ OD-characterization of almost simple groups related to \(L=\mathrm{PSL}(2,p^2)\) except \(\Aut(L)\) ⋮ OD-characterization of alternating and symmetric groups of degree \(p+5\). ⋮ OD-characterization of certain four dimensional linear groups with related results concerning degree patterns. ⋮ Non-commuting graphs of certain almost simple groups ⋮ OD-Characterization of Some Projective Special Linear Groups Over the Binary Field and Their Automorphism Groups ⋮ Characterization by order and degree pattern of the simple groups \({O}_8^-(q)\) for certain \(q\)

Cites Work

• Unnamed Item
• OD-characterization of alternating and symmetric groups of degrees 16 and 22.
• Prime graph components of finite groups
• Finite simple groups with narrow prime spectrum.
• 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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