On Thompson's Conjecture ofA10

DOI10.1080/00927872.2010.488677zbMath1226.20018OpenAlexW2092916853WikidataQ59255747 ScholiaQ59255747MaRDI QIDQ3092953

Qinhui Jiang, Wujie Shi, Changguo Shao, Xiu Yun Guo

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.488677

zbMATH Keywords

conjugacy classesfinite simple groupsconjugacy class sizesalternating group \(A_{10}\)prime graph components

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (2)

Characterization of \(\text{PGL}(2,p)\) by its order and one conjugacy class size. ⋮ A Lower Bound of Conjugacy Class Length of Symmetric Group

Cites Work

• Unnamed Item
• On the length of the conjugacy classes of finite groups
• The theory of finite groups. An introduction.
• On Thompson's conjecture
• On finite simple groups of order divisible by three primes only

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