A dual version of Huppert's conjecture on conjugacy class sizes.

DOI10.1515/JGTH-2014-0039zbMath1311.20011OpenAlexW2329337626WikidataQ123028402 ScholiaQ123028402MaRDI QIDQ486457

Hung P. Tong-Viet, Zeinab Akhlaghi, Jamshid Moori, Tung Le, Maryam Khatami

Publication date: 15 January 2015

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2014-0039

zbMATH Keywords

conjugacy classesfinite simple groupscentralizersThompson conjecturelinear groupsconjugacy class sizesminimal normal subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (5)

PGL2(q) cannot be determined by its cs ⋮ Equivalent version of Huppert’s conjecture for codegrees of K₃-groups ⋮ Finite groups with the same conjugacy class sizes as a finite simple group ⋮ AN ANALOGUE OF HUPPERT’S CONJECTURE FOR CHARACTER CODEGREES ⋮ Improving Thompson's Conjecture for Suzuki Groups

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