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Categorical constructions related to finite groups (Q4629168)

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scientific article; zbMATH DE number 7041754

Language	Label	Description	Also known as
English	Categorical constructions related to finite groups	scientific article; zbMATH DE number 7041754

Statements

scholarly article

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Categorical constructions related to finite groups (English)

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Hiroyuki Nakaoka

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Sugaku Expositions

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publication date

26 March 2019

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/suga/438

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A construction of endo-permutation modules

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A ghost ring for the left-free double Burnside ring and an application to fusion systems

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Green functors and \(G\)-sets

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Tensor induction of relative syzygies

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A remark on a theorem of Ritter and Segal

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Hochschild Constructions for Green Functors

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The \(p\)-blocks of the Mackey algebra

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The functor of rational representations for \(p\)-groups.

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A remark on the Dade group and the Burnside group

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Biset functors and genetic sections for \(p\)-groups

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The Dade group of a \(p\)-group.

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The functor of units of Burnside rings for \(p\)-groups

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Biset functors for finite groups

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The Dade group of (almost) extraspecial \(p\)-groups.

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The group of endo-permutation modules

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The homotopy theory of fusion systems

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Euler characteristics of groups: The \(p\)-fractional part

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Witt vectors and Tambara functors

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A characterization of endotrivial modules over \(p\)-groups

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Torsion endo-trivial modules

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The classification of endo-trivial modules.

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The classification of torsion endo-trivial modules.

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Endo-permutation modules over p-groups. I

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Endo-permutation modules over p-groups. II

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The Burnside ring of fusion systems

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A characterisation of solvable groups

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The Burnside ring of profinite groups and the Witt vector construction

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The Burnside ring of the infinite cyclic group and its relations to the necklace algebra, \(\lambda\)-rings, and the universal ring of Witt vectors

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An application of Burnside rings in elementary finite group theory

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Constructing Witt-Burnside rings

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Solvability of groups of odd order

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Polynomial functors and polynomial monads

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Idempotent formula for the Burnside algebra with applications to the \(p\)-subgroup simplicial complex.

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Axiomatic representation threory for finite groups

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The Brauer ring of a field

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A remark on Mackey-functors

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On the unit groups of Burnside rings of finite groups

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Witt vectors and the algebra of necklaces

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Tambara Functors on Profinite Groups and Generalized Burnside Functors

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Tambarization of a Mackey functor and its application to the Witt-Burnside construction

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On the fractions of semi-Mackey and Tambara functors

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Ideals of Tambara functors

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A generalization of the Dress construction for a Tambara functor, and its relation to polynomial Tambara functors

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The spectrum of the Burnside Tambara functor on a finite cyclic \(p\)-group

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Crossed Burnside rings and Bouc's construction of Green functors

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The generalized Burnside ring with respect to \(p\)-centric subgroups

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The crossed Burnside ring, the Drinfel'd double, and the Dade group of a \(p\)-group

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A collection of subgroups for the generalized Burnside ring

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The generalized Burnside rings with respect to a collection of self-normalizing subgroups

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Crossed Burnside rings. I: The fundamental theorem

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On the generalized Burnside ring with respect to the Young subgroups of the symmetric group

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Crossed Burnside rings. II: The Dress construction of a Green functor

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The crossed Burnside rings. III: The Dress construction for a Tambara functor

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Mackey functors on compact closed categories

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Nilpotent blocks and their source algebras

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Affirmative answer to a question of Feit.

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On the local structure of Morita and Rickard equivalences between Brauer blocks

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Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)

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The Burnside algebra of a finite group

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Multiple Burnside rings and Brauer induction formulae

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On multiplicative transfer

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A partial Burnside ring of \(\text{GL}(n,q)\) relative to line stabilizers

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Some remarks on G-functors and the Brauer morphism.

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Locally Determined Functions and Alperin's Conjecture

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Equivariant \(K\)-theory and Alperin's conjecture

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The Structure of Mackey Functors

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Transformation groups and representation theory

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An induction theorem for the unit groups of Burnside rings of 2-groups

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Idempotents of Burnside rings and Dress induction theorem

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On the unit groups of Burnside rings

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The generalized Burnside ring of a finite group

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Categorical aspects of generating functions. I: Exponential formulas and Krull-Schmidt categories

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The representation ring of the quantum double of a finite group

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Identifiers

zbMATH Open document ID

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10.1090/suga/438

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4629168

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