A characterization of automorphism groups of simple \(K_3\)-groups.

DOI10.4171/RSMUP/132-12zbMath1306.20030OpenAlexW1988616733MaRDI QIDQ481037

Dapeng Yu, Yanheng Chem, Gui-Yun Chen, Jin-Bao Li

Publication date: 12 December 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/132-12

zbMATH Keywords

finite groupsautomorphism groupsalmost simple groupsconjugacy class sizesorders of Sylow subgroupssimple \(K_3\)-groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (1)

Non-commuting graphs of certain almost simple groups

Cites Work

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• A new characterization of \(\text{PGL}(2,p)\) by its noncommuting graph.
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• Further reflections on Thompson's conjecture
• On Thompson's conjecture
• On Thompson's conjecture.
• A NEW CHARACTERIZATION OF ALMOST SPORADIC GROUPS

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