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The Burnside ring modulo a prime

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Publication:1071107
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DOI10.1016/0021-8693(86)90053-0zbMath0585.20002OpenAlexW1979921861MaRDI QIDQ1071107

Eliot T. Jacobson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90053-0


zbMATH Keywords

primitive idempotentsBurnside ringradicalArtin induction theoremmodular character


Mathematics Subject Classification ID

Modular representations and characters (20C20) Grothendieck groups (category-theoretic aspects) (18F30) Permutation groups (20B99)


Related Items (2)

Idempotente im Burnsidering modulo Primzahlpotenzen: Bemerkungen zu einer Arbeit von E. Jacobson. (Idempotents in the Burnside ring modulo prime powers: Remarks on a work by E. Jacobson) ⋮ On the generalized Burnside ring with respect to the Young subgroups of the symmetric group




Cites Work

  • Idempotent formula for the Burnside algebra with applications to the \(p\)-subgroup simplicial complex.
  • A character table bound for the Schur index
  • A characterisation of solvable groups
  • Burnside rings which are gorenstein
  • The Burnside algebra of a finite group
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