Towards Thompson's conjecture for alternating and symmetric groups.

DOI10.1515/JGTH-2015-0043zbMath1341.20022OpenAlexW2963468980WikidataQ123096831 ScholiaQ123096831MaRDI QIDQ254326

Ilya B. Gorshkov

Publication date: 8 March 2016

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

Full work available at URL: https://doi.org/10.1515/jgth-2015-0043

zbMATH Keywords

symmetric groupsfinite groupsalternating groupsThompson conjectureconjugacy class sizesprime graphs

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) Simple groups: alternating groups and groups of Lie type (20D06) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Related Items (6)

On Thompson's conjecture for alternating groups of large degree ⋮ On Thompson's conjecture for alternating and symmetric groups of degree greater than 1361. ⋮ PGL2(q) cannot be determined by its cs ⋮ Thompson’s conjecture for alternating groups ⋮ On Thompson’s conjecture for finite simple groups ⋮ Characterization of groups with non-simple socle

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