Supercharacter theories of semiextraspecial \(p\)-groups and Frobenius groups

DOI10.1016/j.jalgebra.2018.02.006zbMath1447.20006OpenAlexW2793577037MaRDI QIDQ1643106

Casey Wynn, Mark L. Lewis

Publication date: 18 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.02.006

zbMATH Keywords

conjugacy classesCamina pairs(semi)-extraspecial $p$-groups$p$-groupssupercharacter theories

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

Counting the number of supercharacter theories of a finite group ⋮ An analog of nilpotence arising from supercharacter theory ⋮ On a supercharacter analog of nilpotent groups ⋮ Vanishing-off subgroups and supercharacter theory products ⋮ Finding supercharacter theories on character tables ⋮ Toward a classification of the supercharacter theories of C_p × C_p

Cites Work

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• Semi-extraspecial groups of exponent p
• Some conditions which almost characterize Frobenius groups.
• Semi-extraspezielle p-Gruppen
• A super-class walk on upper-triangular matrices
• Groups with exactly two supercharacter theories
• Supercharacter Theory Constructions Corresponding to Schur Ring Products
• Supercharacters and superclasses for algebra groups

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