Local functions on blocks

Jamie Mason

doi:10.1080/00927872.2022.2154785

Local functions on blocks

Jamie Mason

Mathematics

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Abstract

We define a block-by-block version of Isaacs and Navarro’s chain local condition and then prove that the Alperin–McKay conjecture is equivalent to a certain function on groups having this property. We then go on to prove several other block-by-block versions of results from Isaacs and Navarro’s paper.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Communications in Algebra
Early online date	10 Dec 2022
DOIs	https://doi.org/10.1080/00927872.2022.2154785
Publication status	E-pub ahead of print - 10 Dec 2022

Keywords

Alperin-McKay conjecture
blocks
local-global conjectures
local subgroup
p-subgroup
subgroup chain

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10.1080/00927872.2022.2154785Licence: Creative Commons: Attribution (CC BY)

Mason2022_Local_functions_on_blocksFinal published version, 1.23 MBLicence: Creative Commons: Attribution (CC BY)

https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2154785

Cite this

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title = "Local functions on blocks",

abstract = "We define a block-by-block version of Isaacs and Navarro{\textquoteright}s chain local condition and then prove that the Alperin–McKay conjecture is equivalent to a certain function on groups having this property. We then go on to prove several other block-by-block versions of results from Isaacs and Navarro{\textquoteright}s paper.",

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AB - We define a block-by-block version of Isaacs and Navarro’s chain local condition and then prove that the Alperin–McKay conjecture is equivalent to a certain function on groups having this property. We then go on to prove several other block-by-block versions of results from Isaacs and Navarro’s paper.

KW - Alperin-McKay conjecture

KW - blocks

KW - local-global conjectures

KW - local subgroup

KW - p-subgroup

KW - subgroup chain

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DO - 10.1080/00927872.2022.2154785

M3 - Article

SN - 0092-7872

SP - 1

EP - 11

JO - Communications in Algebra

JF - Communications in Algebra

ER -

Local functions on blocks

Abstract

Keywords

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