Idempotent formula for the Burnside algebra with applications to the \(p\)-subgroup simplicial complex.
From MaRDI portal
Publication:1134793
zbMath0424.16007MaRDI QIDQ1134793
Publication date: 1981
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Special aspects of infinite or finite groups (20F99) Conditions on elements (16U99) Generalizations (16Y99)
Related Items
Normalizing isomorphisms between Burnside rings, Fibred permutation sets and the idempotents and units of monomial Burnside rings, The Burnside algebra of a quasigroup., Naive-commutative ring structure on rational equivariant \(K\)-theory for abelian groups, Permutation representations arising from simplicial complexes, On the unit group of the Burnside ring as a biset functor for some solvable groups, Axiomatic theory of Burnside rings. I, Direct limits and inverse limits of Mackey functors, 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), Class group relations from Burnside ring idempotents, On Bouc's and Thévenaz's conjectures on \(B\)-groups, Cohomological Mackey functors in number 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 (crossed) Burnside ring of profinite groups, Euler characteristics and Möbius algebras of \(p\)-subgroup categories., Transfer and characteristic idempotents for saturated fusion systems, Isomorphic rings of monomial representations, Lattice Burnside rings, A conjecture on \(B\)-groups, On the isomorphism problem for the ring of monomial representations of a finite group, The generalized Burnside rings with respect to a collection of self-normalizing subgroups, Idempotent characters and equivariantly multiplicative splittings of K‐theory, The uncountable lattice of all subfunctors of the functor of rational representations, Speed's orbit problem: Variations on themes of Burnside, Categorical constructions related to finite groups, Projectives in Burnside rings, projectives in Green rings, and generalized Steinberg modules., On the basis of the Burnside ring of a fusion system, A ghost ring for the left-free double Burnside ring and an application to fusion systems, Unnamed Item, Unnamed Item, Global representation rings, On the Möbius function of a finite group, Small linearly equivalent \(G\)-sets and a construction of Beaulieu., An application of Burnside rings in elementary finite group theory, On the \(T^{\circ}\)-slices of a finite group, On the generalized Burnside ring with respect to the Young subgroups of the symmetric group, Trace maps for Mackey algebras, Tornehave morphisms. II: The lifted Tornehave morphism and the dual of the Burnside functor, Euler characteristics for \(p\)-adic Lie groups, Units of Burnside rings of elementary abelian 2-groups, The primitive idempotents of the \(p\)-permutation ring, Multiplicative induction and units for the ring of monomial representations, An Étale realization which does NOT exist, Relative \(B\)-groups, A functorial presentation of units of Burnside rings, The units of a ring spectrum and a logarithmic cohomology operation, A general theory of canonical induction formulae, The composition factors of the functor of permutation modules, An inversion formula for the primitive idempotents of the trivial source algebra, The Burnside ring of fusion systems, On the reduced Lefschetz module and the centric \(p\)-radical subgroups., Adams operations and \(\lambda\)-operations in \(\beta\)-rings, The Burnside ring modulo a prime, The equivalence between rational G-sheaves and rational G-Mackey functors for profinite G
