OD-characterization of all simple groups whose orders are less than \(10^8\).

DOI10.1007/S11464-008-0026-9zbMath1165.20010OpenAlexW1995319877MaRDI QIDQ2519357

Liangcai Zhang, Wujie Shi

Publication date: 26 January 2009

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

Full work available at URL: https://doi.org/10.1007/s11464-008-0026-9

zbMATH Keywords

finite 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 (15)

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 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 almost simple groups related to \(U_3(5)\). ⋮ More on the OD-Characterizability of a Finite Group ⋮ OD-characterization of alternating and symmetric groups of degrees 16 and 22. ⋮ CHARACTERIZATION OF THE PROJECTIVE GENERAL LINEAR GROUPS PGL(2,q) BY THEIR ORDERS AND 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prime graph components of finite groups
• A characterization of Suzuki-Ree groups
• A new characterization of the alternating groups
• A new characterization of \(\text{PSL}_2(q)\)
• A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power
• A characterization of \(\text{PSL}(3,q)\) for \(q=2^m\)
• A characterization of \(\text{PSU}_3(q)\) for \(q>5\)
• 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 characteristic property ofA 8
• Groups with complete prime graph connected components
• A Characterization of Finite Simple Groups by the Degrees of Vertices of Their Prime Graphs

This page was built for publication: OD-characterization of all simple groups whose orders are less than \(10^8\).