Groups with exactly two supercharacter theories

DOI10.1080/00927872.2016.1172622zbMath1369.20005arXiv1506.00015OpenAlexW2963592593MaRDI QIDQ2986072

Mark L. Lewis, Casey Wynn, Jonathan Lamar, Shawn T. Burkett

Publication date: 12 May 2017

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

Full work available at URL: https://arxiv.org/abs/1506.00015

zbMATH Keywords

simple groupsrational groupssupercharacter theories

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite simple groups and their classification (20D05)

Related Items (13)

Supercharacter theories of semiextraspecial \(p\)-groups and Frobenius groups ⋮ Towards the classification of finite simple groups with exactly three or four supercharacter theories ⋮ Counting the number of supercharacter theories of a finite group ⋮ Research in representation theory of finite groups ⋮ Projective supercharacter theory ⋮ Groups with one or two super-Brauer character theories ⋮ Supercharacters of unipotent and solvable groups ⋮ The structure of normal lattice supercharacter theories ⋮ Supercharacter theories of type \(A\) unipotent radicals and unipotent polytopes ⋮ Supercharacter theories of type \(A\) unipotent radicals and unipotent polytopes ⋮ An algorithm for constructing all supercharacter theories of a finite group ⋮ Finding supercharacter theories on character tables ⋮ Toward a classification of the supercharacter theories of C_p × C_p

Uses Software

• GAP
• SageMath

Cites Work

• Unnamed Item
• On Schur rings over cyclic groups. II
• On Schur-rings which define a proper character theory on finite groups
• Fusions of Character Tables and Schur Rings of Abelian Groups
• Supercharacter Theory Constructions Corresponding to Schur Ring Products
• Supercharacters and superclasses for algebra groups

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