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Survey on perfect isometries (Q2211923)

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Language	Label	Description	Also known as
English	Survey on perfect isometries	scientific article

Statements

scholarly article

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Survey on perfect isometries (English)

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Benjamin Sambale

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Rocky Mountain Journal of Mathematics

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publication date

17 November 2020

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full work available at URL

https://arxiv.org/abs/1910.05928

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https://projecteuclid.org/euclid.rmjm/1604545214

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zbMATH Keywords

perfect isometries

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isotypies

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Broué's conjecture

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Local methods in block theory

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

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On Blocks and Sections in Finite Groups. I

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A Frobenius theorem for blocks

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Perfect isometries and Murnaghan-Nakayama rules

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Shorter Notes: Character Values of Finite Groups as Eigenvalues of Nonnegative Integer Matrices

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On centers of \(2\)-blocks of Suzuki groups

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Perfect generalized characters inducing the Alperin-McKay conjecture.

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Isometries parfaites entre blocs de groupes linéaires ou unitaires. (Perfect isometries between blocks of linear or unitary groups)

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The McKay conjecture and Brauer's induction theorem

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On perfect isometries and isotypies in finite groups

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On perfect isometries and isotypies in alternating groups

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On isomorphisms between centers of integral group rings of finite groups

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Blocks with nonabelian defect groups which have cyclic subgroups of index \(p\).

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On a correspondence between blocks of finite groups induced from the Isaacs character correspondence

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2-blocks with abelian hyperfocal subgroup of rank 3

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New refinements of the McKay conjecture for arbitrary finite groups

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Shintani descent and perfect isometries for blocks of finite general linear groups.

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On Isotypies Between Galois Conjugate Blocks

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On blocks with Frobenius inertial quotient.

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Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9

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Crossed products and blocks with normal defect groups

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Generalized blocks for symmetric groups.

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Broué's perfect isometry conjecture holds for the double covers of the symmetric and alternating groups

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A note on perfect isometries between finite general linear and unitary groups at unitary primes

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Isometries and extra special Sylow groups of order \(p^3\).

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The McKay conjecture and Galois automorphisms.

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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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Relevés d'Isotypies de Sp(4, F<sub><i>q</i></sub>) Pour<b><i>q</i></b>Impair

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Perfect isometries in the blocks with abelian defect of symmetric and sporadic groups

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Perfect Isometry Groups for Cyclic Groups of Prime Order

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Blocks of finite groups and their invariants.

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Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups

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2-blocks with minimal nonabelian defect groups. III

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

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Isotypies for the quasisimple groups with exceptional Schur multiplier

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Perfect isometries and the Isaacs correspondence.

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On the isotypy induced by the Glauberman-Dade correspondence between blocks of finite groups.

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Isotypies for \(p\)-blocks with non-abelian metacyclic defect groups, \(p\) odd

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On some saturated triples and hyperfocal subgroups

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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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The Glauberman character correspondence and perfect isometries for blocks of finite groups

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On the Dade character correspondence and isotypies between blocks of finite groups.

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On blocks of finite groups with central hyperfocal subgroups.

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The number of irreducible Brauer characters in a \(p\)-block of a finite group with cyclic hyperfocal subgroup.

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The character ring of a finite group

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Isomorphisms of character rings.

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1216/RMJ.2020.50.1517

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Sitelinks

Mathematics(1 entry)

mardi Publication:2211923

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