On the image of the trivial source ring in the ring of virtual characters of a finite group

DOI10.2140/pjm.2021.315.449zbMath1482.19001arXiv2012.13365OpenAlexW3116206030MaRDI QIDQ2077140

John Revere McHugh

Publication date: 24 February 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.13365

zbMATH Keywords

finite groupsSchur indexbiset functorsfibered biset functorstrivial source ring

Mathematics Subject Classification ID

Modular representations and characters (20C20) Frobenius induction, Burnside and representation rings (19A22)

Related Items (1)

The orthogonal unit group of the trivial source ring

Cites Work

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• Modules with trivial source, modular monomial representations and a modular version of Brauer's induction theorem
• Set functors equipped with a double action
• Fibered biset functors
• The \(A\)-fibered Burnside ring as \(A\)-fibered biset functor in characteristic zero
• The ring of monomial representations. I: Structure theory
• Investigations on group characters
• PERMUTATION REPRESENTATIONS OF FINITE p-GROUPS
• Ein Induktionssatz für rationale Charaktere von nilpotenten Gruppen.

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