The 2-blocks of defect 4. (Q2836483)

scientific article; zbMATH DE number 6183358

Language	Label	Description	Also known as
English	The 2-blocks of defect 4.	scientific article; zbMATH DE number 6183358

Statements

instance of

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3 July 2013

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zbMATH Keywords

blocks of finite groups

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defect groups

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numbers of irreducible characters

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numbers of irreducible Brauer characters

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2-blocks

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Alperin weight conjecture

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Brauer \(k(B)\)-conjecture

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Brauer height-zero conjecture

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Olsson conjecture

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Alperin-McKay conjecture

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Robinson ordinary weight conjecture

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Gluck conjecture

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Eaton conjecture

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Eaton-Moretó conjecture

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Malle-Navarro conjecture

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describes a project that uses

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Defect groups in the theory of representations of finite groups

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Q3728211

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Blocks with cyclic defect groups

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Generalisations of conjectures of Brauer and Olsson.

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2-Blocks with minimal nonabelian defect groups II

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Extending Brauer's Height Zero Conjecture to Blocks with Nonabelian Defect Groups

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On determinants of Cartan matrices of p-blocks

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Rational defect groups and 2-rational characters

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Q3520011

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

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

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Q3337630

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On 2-blocks with wreathed defect groups

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Crossed products and blocks with normal defect groups

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Fusion category algebras.

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Inequalities for some blocks of finite groups.

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On 2-blocks with quaternion and quasihedral defect groups

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Lower defect groups

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On the number of characters in blocks of finite general linear, unitary and symmetric groups

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The gluing problem for some block fusion systems.

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Perfect isometries for blocks with abelian defect groups and Klein four inertial quotients

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Perfect isometries for blocks with abelian defect groups and cyclic inertial quotients of order \(4\)

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On Brauer's \(k(B)\) problem

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Weight conjectures for ordinary characters.

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Blocks with central product defect group \(D_{2^n}*C_{2^m}\).

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Blocks with defect group \(Q_{2^n}\times C_{2^m}\) and \(SD_{2^n}\times C_{2^m}\).

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Brauer's height zero conjecture for metacyclic defect groups.

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Further evidence for conjectures in block theory.

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2-blocks with minimal nonabelian defect groups.

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Cartan matrices and Brauer's \(k(B)\)-conjecture.

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Cartan matrices and Brauer's \(k(B)\)-conjecture. II.

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Blocks with defect group \(D_{2^n}\times C_{2^m}\).

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Fusion systems on metacyclic 2-groups.

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On p-blocks with Abelian defect groups and inertial index 2 or 3. I

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Perfect isometries for blocks with abelian defect groups and dihedral inertial quotients of order \(6\)

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Perfect isometries and isotypies for blocks with Abelian defect groups and the inertial quotients isomorphic to \(\mathbf Z_ 3\times\mathbf Z_ 3\)

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Perfect isometries and isotypies for blocks with abelian defect groups and the inertial quotients isomorphic to \(\mathbb{Z}_ 4\times\mathbb{Z}_ 2\)

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The characterization of finite groups with abelian Sylow 2-subgroups

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Notes on \(p\)-blocks of characters of finite groups

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title

The 2-blocks of defect 4. (English)

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published in

Representation Theory

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Identifiers

zbMATH Open document ID

1311.20008

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DOI

10.1090/S1088-4165-2013-00433-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2836483