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Ring of subquotients of a finite group. I: Linearization

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Publication:1048213
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DOI10.1016/j.jalgebra.2009.07.030zbMath1208.19001OpenAlexW1972595722MaRDI QIDQ1048213

Olcay Coşkun

Publication date: 11 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.07.030


zbMATH Keywords

linearizationBurnside ringMackey functorbiset functorsubquotient


Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22)


Related Items

The slice Burnside ring and the section Burnside ring of a finite group ⋮ The Dade group of Mackey functors for \(p\)-groups ⋮ Ring of subquotients of a finite group. II: Pure bisets



Cites Work

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  • Alcahestic subalgebras of the alchemic algebra and a correspondence of simple modules
  • Green correspondence and transfer theorems of Wielandt type for G- functors
  • A general theory of canonical induction formulae
  • Green functors and \(G\)-sets
  • Set functors equipped with a double action
  • Construction of functors between categories of \(G\)-sets
  • Mackey functors, induction from restriction functors and coinduction from transfer functors
  • The Structure of Mackey Functors
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