Alperin weight conjecture and related developments (Q5055602)

scientific article; zbMATH DE number 7630896

Language	Label	Description	Also known as
English	Alperin weight conjecture and related developments	scientific article; zbMATH DE number 7630896

Statements

instance of

scholarly article

0 references

title

Alperin weight conjecture and related developments (English)

0 references

0 references

0 references

Bulletin of Mathematical Sciences

0 references

publication date

9 December 2022

0 references

zbMATH Keywords

Alperin weight conjecture

0 references

reduction theorem

0 references

blocks

0 references

simple groups

0 references

finite groups of Lie type

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1142/s1664360722300055

0 references

cites work

Q4141971

0 references

Q3804896

0 references

Local methods in block theory

0 references

Weights for symmetric and general linear groups

0 references

2-weights for general linear groups

0 references

2-weigths for classical groups.

0 references

2-Weights for Unitary Groups

0 references

Q4291014

0 references

Weights for Classical Groups

0 references

Weights for the Chevalley Groups G2 (q)

0 references

Weights for the Steinberg triality groups \({^ 3D_ 4(q)}\)

0 references

The Alperin and Dade conjectures for Ree groups \(^2F_4(q^2)\) in non-defining characteristics

0 references

On the Numbers of 2-Weights, Unipotent Conjugacy Classes, and Irreducible Brauer 2-Characters of Finite Classical Groups

0 references

The AWC-goodness and essential rank of sporadic simple groups.

0 references

Radical 3-subgroups of \(F_4(q)\) with \(q\) even.

0 references

Radical subgroups of the finite exceptional groups of Lie type \(E_6\).

0 references

Radical 3-subgroups of the finite groups of Lie type \(E_{6}\)

0 references

Radical 3-subgroups and essential 3-rank of \(F_4(q)\).

0 references

Q4351608

0 references

Local representation theory and möbius inversion

0 references

A refinement of Alperin's conjecture for blocks of the endomorphism algebra of the Sylow permutation module.

0 references

On Brauer’s height 0 conjecture

0 references

Q2776259

0 references

ALPERIN'S WEIGHT CONJECTURE AND CHAIN COMPLEXES

0 references

Quasi-Isolated Elements in Reductive Groups

0 references

Derived categories and Deligne-Lusztig varieties. II.

0 references

Computational proof of the Mackey formula for \(q>2\).

0 references

Derived categories and Deligne-Lusztig varieties.

0 references

Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I

0 references

Q5785002

0 references

Q3236698

0 references

Q5328211

0 references

Some applications of the theory of blocks of characters of finite groups. IV

0 references

Q4776030

0 references

The homotopy theory of fusion systems

0 references

Q3798869

0 references

Isométries de caractères et équivalences de Morita ou dérivées. (Isometries of characters and Morita or derived equivalences)

0 references

Q3483449

0 references

Generic Sylow theorems for the reductive groups over finite fields

0 references

Q4279639

0 references

Q3800275

0 references

Radical subgroups and the inductive blockwise Alperin weight conditions for \(\mathrm{PSp}_4(q)\)

0 references

On the Alperin-McKay conjecture for simple groups of type A

0 references

A criterion for the inductive Alperin weight condition

0 references

Unitriangular shape of decomposition matrices of unipotent blocks

0 references

On a theorem of Borel and Tits for finite Chevalley groups

0 references

Brauer morphism between modular Hecke algebras

0 references

Two remarks on the reduction of Alperin's weight conjecture

0 references

Unipotent blocks of finite reductive groups of a given type

0 references

On unipotent blocks and their ordinary characters

0 references

On blocks of finite reductive groups and twisted induction

0 references

Equivariance and extendibility in finite reductive groups with connected center.

0 references

Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\)

0 references

Inductive McKay condition for finite simple groups of type 𝖢

0 references

Descent equalities and the inductive McKay condition for types \(\mathsf{B}\) and \(\mathsf{E}\)

0 references

Basic Sets for Unipotent Blocks of Finite Reductive Groups in Bad Characteristic

0 references

Completion of a bijective proof of the Alperin weight conjecture for \(S_n\) when \(p=2\).

0 references

A bijection for the Alperin weight conjecture in \(S_n\).

0 references

Representation Theory of Finite Groups: a Guidebook

0 references

Q5641300

0 references

Blocks with cyclic defect groups

0 references

Q3904755

0 references

Counting characters in blocks. I

0 references

Counting characters in blocks, II.

0 references

Q4387385

0 references

Representations of reductive groups over finite fields

0 references

Duality for representations of a reductive group over a finite field. II

0 references

Stable basic sets for finite special linear and unitary groups

0 references

Q3496405

0 references

On the Decomposition Numbers of the Finite General Linear Groups. II

0 references

The inductive blockwise Alperin weight condition for PSL(3, 4)

0 references

The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2)

0 references

Coxeter orbits and Brauer trees III

0 references

The equivalence of some conjectures of Dade and Robinson.

0 references

2-blocks with abelian defect groups.

0 references

On the unipotent \(l\)-blocks of finite reductive groups when \(l\) is bad

0 references

Towards a Jordan decomposition of blocks of finite reductive groups.

0 references

The blocks and weights of finite special linear and unitary groups

0 references

The Inductive Blockwise Alperin Weight Condition for PSL(3, q)

0 references

On the inductive blockwise Alperin weight condition for classical groups

0 references

On the inductive blockwise Alperin weight condition for type \(\mathsf{A}\)

0 references

Equivariant correspondences and the inductive Alperin weight condition for type 𝖠

0 references

Jordan decomposition for weights and the blockwise Alperin weight conjecture

0 references

Morita equivalences and the inductive blockwise Alperin weight condition for type 𝖠

0 references

Inductive blockwise Alperin weight condition for type \(\mathsf{B}\) and odd primes

0 references

THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE AND THE PRIME

0 references

Unitriangular basic sets, Brauer characters and coprime actions

0 references

The Alperin weight conjecture for symmetric and general linear groups revisited

0 references

On perfect isometries and isotypies in finite groups

0 references

The blocks of finite general linear and unitary groups

0 references

Q3803330

0 references

A characteristic class of characters of finite \(\pi\)-separable groups

0 references

Q3998011

0 references

Generalized gelfand-graev characters for steinberg's triality groups and their applications

0 references

On the decomposition numbers of the finite unitary groups in non-defining characteristic

0 references

Basic Sets of Brauer Characters of Finite Groups of Lie Type II

0 references

Q3971682

0 references

Q5688169

0 references

The Character Theory of Finite Groups of Lie Type

0 references

Brauer's Height Conjecture for p-Solvable Groups

0 references

The Characters of the Finite General Linear Groups

0 references

Decomposition numbers of finite classical groups for linear primes.

0 references

Finite groups with odd Sylow normalizers

0 references

Eisenstein Series over Finite Fields

0 references

Q4001632

0 references

Q5715118

0 references

Characters of Solvable and Symplectic Groups

0 references

A reduction theorem for the McKay conjecture.

0 references

Weights and vertices for characters of \(\pi\)-separable groups

0 references

Q3520011

0 references

Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8

0 references

Weight conjectures for fusion systems

0 references

Quasi-isolated blocks and Brauer's height zero conjecture.

0 references

Lusztig induction and \(\ell\)-blocks of finite reductive groups

0 references

Brauer's height zero conjecture for quasi-simple groups

0 references

Local-Global Conjectures and Blocks of Simple Groups

0 references

Representations of finite special linear groups in non-defining characteristic.

0 references

Some Remarks on a Conjecture of Alperin

0 references

The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes

0 references

The inductive Alperin-McKay condition for 2-blocks with cyclic defect groups.

0 references

Extensions of nilpotent blocks

0 references

On Alperin's conjecture and certain subgroup complexes

0 references

An equivariant bijection between irreducible Brauer characters and weights for \(\mathrm{Sp}(2n,q)\)

0 references

The inductive blockwise Alperin weight condition for \(\text{PSp}_{2n}(q)\) and odd primes

0 references

The Inductive Blockwise Alperin Weight Condition for PSp4(q)

0 references

The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_{n}(q)\) and \(\mathrm{PSU}_{n}(q)\) with cyclic outer automorphism groups

0 references

The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_n(q)\) with \((n,q - 1)=1\)

0 references

Fusion category algebras.

0 references

Alperin's weight conjecture in terms of equivariant Bredon cohomology

0 references

On the finiteness of the number of unipotent classes

0 references

Irreducible representations of finite classical groups

0 references

On the unipotent characters of the exceptional groups over finite fields

0 references

Unipotent characters of the symplectic and odd orthogonal groups over a finite field

0 references

Unipotent Characters of the Even Orthogonal Groups over a Finite Field

0 references

Characters of Reductive Groups over a Finite Field. (AM-107)

0 references

Q3481947

0 references

The characters of the finite unitary groups

0 references

Height 0 characters of finite groups of Lie type

0 references

On the inductive Alperin-McKay and Alperin weight conjecture for groups with abelian Sylow subgroups.

0 references

Cuspidal characters and automorphisms

0 references

Local-global conjectures in the representation theory of finite groups

0 references

Brauer's height zero conjecture for principal blocks

0 references

On the number of simple modules in a block of a finite group

0 references

Characters of odd degree

0 references

Q3077960

0 references

Irreducible representations of odd degree

0 references

Weights for Covering Groups of Symmetric and Alternating Groups, р ≠ 2

0 references

Q5840165

0 references

Weights, vertices and a correspondence of characters in groups of odd order

0 references

Q4387775

0 references

Defect of characters and local subgroups in p-solvable groups

0 references

On Brauer's height zero conjecture

0 references

A reduction theorem for the Alperin weight conjecture.

0 references

Characters of relative \(p^\prime\)-degree over normal subgroups

0 references

Character correspondence and p-blocks of P-solvable groups

0 references

On 2-blocks with quaternion and quasihedral defect groups

0 references

Some Remarks on the Characters of the Symmetric Group, II

0 references

Q3781256

0 references

Nilpotent blocks and their source algebras

0 references

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

0 references

Frobenius categories versus Brauer blocks. The Grothendieck group of the Frobenius category of a Brauer block.

0 references

On the reduction of Alperin's conjecture to the quasi-simple groups.

0 references

Equivariant Alperin-Robinson's conjecture reduces to almost-simple \(k^*\)-groups.

0 references

Finite group actions and étale cohomology

0 references

Splendid Equivalences: Derived Categories and Permutation Modules

0 references

Q5785003

0 references

Local Structure, Vertices and Alperin's Conjecture

0 references

Dade's projective conjecture for \(p\)-solvable groups

0 references

Weight conjectures for ordinary characters.

0 references

Q3481924

0 references

Étale chain complexes and Deligne-Lusztig curves

0 references

On the Bonnafé-Dat-Rouquier Morita equivalence

0 references

Quasi-isolated blocks and the Alperin–McKay conjecture

0 references

Derived equivalences and equivariant Jordan decomposition

0 references

Jordan decomposition for the Alperin-McKay conjecture

0 references

Blocks of finite groups and their invariants.

0 references

\(Sp_6(2^a)\) is ``good'' for the McKay, Alperin weight, and related local-global conjectures.

0 references

Galois automorphisms and classical groups

0 references

The inductive blockwise Alperin weight condition for \(G_{2}(q)\) and \(^3D_4(q)\)

0 references

The McKay conjecture for exceptional groups and odd primes.

0 references

Sylow \(d\)-tori of classical groups and the McKay conjecture. II.

0 references

A reduction theorem for the Alperin–McKay conjecture

0 references

A reduction theorem for the blockwise Alperin weight conjecture

0 references

A reduction theorem for Dade's projective conjecture

0 references

Q5283706

0 references

Brauer characters and coprime action

0 references

The Bredon cohomology of subgroup complexes

0 references

Action of automorphisms on irreducible characters of symplectic groups

0 references

Locally Determined Functions and Alperin's Conjecture

0 references

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

0 references

Q3972122

0 references

Dade's conjecture for tame blocks

0 references

Conjectures on character degrees for the simple Thompson group.

0 references

On the \(p\)-local rank of finite groups.

0 references

On nilpotent blocks of finite groups

0 references

Standard stratifications of EI categories and Alperin's weight conjecture.

0 references

Finite groups with odd Sylow automizers

0 references

Studies on defect groups

0 references

Q4660849

0 references

The inductive blockwise Alperin weight condition for certain 2-blocks with abelian defect groups

0 references

Inertial blocks and equivariant basic Morita equivalences

0 references

Identifiers

DOI

10.1142/S1664360722300055

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5055602