The ring of monomial representations. I: Structure theory
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Publication:2546236
DOI10.1016/0021-8693(71)90132-3zbMath0217.07402OpenAlexW2030675947MaRDI QIDQ2546236
Publication date: 1971
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(71)90132-3
Related Items (30)
Species isomorphisms of fibered Burnside rings ⋮ Fibred permutation sets and the idempotents and units of monomial Burnside rings ⋮ Axiomatic theory of Burnside rings. I ⋮ A survey of integral representation theory ⋮ Multiple Burnside rings and Brauer induction formulae ⋮ Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group ⋮ On the essential algebra of the shifted Burnside biset functor ⋮ Groups with isomorphic fibered Burnside rings ⋮ Isomorphic rings of monomial representations ⋮ Tensor induction for \(M\)-Burnside rings ⋮ Semisimplicity of the deformations of the subcharacter algebra of an abelian group ⋮ On fibred biset functors with fibres of order prime and four ⋮ Lattice Burnside rings ⋮ Explicit Brauer induction ⋮ The \(-_{+}\) and \(-^{+}\) constructions for biset functors ⋮ On the isomorphism problem for the ring of monomial representations of a finite group ⋮ Monomial \(G\)-posets and their Lefschetz invariants ⋮ The \(A\)-fibered Burnside ring as \(A\)-fibered biset functor in characteristic zero ⋮ Fibered \(p\)-biset functor structure of the fibered Burnside rings ⋮ Global representation rings ⋮ Modular Species and Prime Ideals for the Ring of Monomial Representations of a Finite Group# ⋮ Lattices over integral group rings and abelian subquotients ⋮ Fibered biset functors ⋮ Modules with trivial source, modular monomial representations and a modular version of Brauer's induction theorem ⋮ Multiplicative induction and units for the ring of monomial representations ⋮ A general theory of canonical induction formulae ⋮ Isomorphisms of global representation rings ⋮ On prime ideals in representation rings ⋮ On the image of the trivial source ring in the ring of virtual characters of a finite group ⋮ The fibered Burnside group of a fusion system
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