A characterization of the alternating group \(A_{10}\) by its conjugacy class lengths.

DOI10.1007/S13366-011-0042-XzbMath1237.20015OpenAlexW2061987884MaRDI QIDQ664225

Gerald Pientka

Publication date: 29 February 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0042-x

zbMATH Keywords

finite simple groupsThompson conjectureconjugacy class lengthsalternating group \(A_{10}\)characterizations of finite groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (4)

Notes on conjugacy classes of finite groups ⋮ Characterization of \(\text{PGL}(2,p)\) by its order and one conjugacy class size. ⋮ Recognizing simple \(K_4\)-groups by few special conjugacy class sizes ⋮ A Lower Bound of Conjugacy Class Length of Symmetric Group

Cites Work

• On Thompson's conjecture
• Eine Kennzeichnung der Mathieu-Gruppe \(M_{22}\) und der alternierenden Gruppe \(A_{10}\)
• Unnamed Item

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