Recognizing \(L_2(p)\) by its order and one special conjugacy class size.

DOI10.1186/1029-242X-2012-310zbMath1282.20016WikidataQ59289777 ScholiaQ59289777MaRDI QIDQ388032

Yanheng Chen, Gui-Yun Chen

Publication date: 18 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsThompson conjectureconjugacy class sizesprime graphssets of element ordersconjugacy class lengths

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)

Unnamed Item ⋮ New characterization of symmetric groups of prime degree ⋮ Characterization of \(\text{PGL}(2,p)\) by its order and one conjugacy class size. ⋮ Characterization of some finite groups by order and length of one conjugacy class.

Cites Work

• On Thompson's conjecture for some finite simple groups.
• Prime graph components of finite groups
• Further reflections on Thompson's conjecture
• On Thompson's conjecture
• Prime graph components of the simple groups of Lie type over the field of even characteristic

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