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The orthogonal unit group of the trivial source ring

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Publication:2097271
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DOI10.1016/j.jalgebra.2022.09.030OpenAlexW4306682830MaRDI QIDQ2097271

Robert Boltje, Rob Carman

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2203.12718


zbMATH Keywords

species\(p\)-permutation modulesorthogonal unitstrivial source ring\(p\)-permutation equivalences


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Frobenius induction, Burnside and representation rings (19A22)




Cites Work

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  • Burnside rings of fusion systems and their unit groups
  • The abelian monoid of fusion-stable finite sets is free
  • On the unit groups of Burnside rings
  • Biset functors for finite groups
  • On the units in a character ring
  • Unit groups of representation rings and their ghost rings as inflation functors
  • On the image of the trivial source ring in the ring of virtual characters of a finite group
  • Investigations on group characters
  • On $p$-permutation equivalences: Between Rickard equivalences and isotypies
  • On Scott Modules and p-Permutation Modules: An Approach through the Brauer Morphism
  • Splendid Equivalences: Derived Categories and Permutation Modules
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