Recognizing finite groups through order and degree patterns.
DOI10.1007/s11401-013-0787-7zbMath1279.20036OpenAlexW2076386836MaRDI QIDQ379904
Liangcai Zhang, Hai Jing Xu, Gui-Yun Chen, Yan Xiong Yan
Publication date: 11 November 2013
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-013-0787-7
symmetric groupsfinite simple groupsalternating groupsprime graphssets of element ordersdegree patternsdegrees of verticesOD-characterizable groupsorder componentssimple groups of Lie type
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 (3)
Cites Work
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- Characterization of the finite simple groups by spectrum and order.
- Recognizing alternating groups \(A_{p+3}\) for certain primes \(p\) by their orders and degree patterns.
- OD-characterization of almost simple groups related to \(U_6(2)\).
- OD-characterization of the automorphism groups of \(O^\pm_{10}(2)\).
- OD-characterization of alternating and symmetric groups of degrees 16 and 22.
- Prime graph components of finite groups
- OD-characterization of almost simple groups related to \(U_3(5)\).
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- Finite Groups in Which Every Element Has Prime Power Order
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- 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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