On stable equivalences and blocks with one simple module

Radha Kessar; Markus Linckelmann

doi:10.1016/j.jalgebra.2010.01.006

On stable equivalences and blocks with one simple module

Radha Kessar, Markus Linckelmann

Mathematical Science

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

Using a stable equivalence due to Rouquier, we show that Alperin's weight conjecture holds for any p-block of a finite group with defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules.

Original language	English
Pages (from-to)	1607-1621
Number of pages	16
Journal	Journal of Algebra
Volume	323
Issue number	6
Early online date	20 Jan 2010
DOIs	https://doi.org/10.1016/j.jalgebra.2010.01.006
Publication status	Published - 15 Mar 2010

Keywords

block theory
Alperin's conjecture

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Cite this

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title = "On stable equivalences and blocks with one simple module",

abstract = "Using a stable equivalence due to Rouquier, we show that Alperin's weight conjecture holds for any p-block of a finite group with defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules.",

keywords = "block theory, Alperin's conjecture",

author = "Radha Kessar and Markus Linckelmann",

year = "2010",

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AU - Linckelmann, Markus

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N2 - Using a stable equivalence due to Rouquier, we show that Alperin's weight conjecture holds for any p-block of a finite group with defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules.

AB - Using a stable equivalence due to Rouquier, we show that Alperin's weight conjecture holds for any p-block of a finite group with defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules.

KW - block theory

KW - Alperin's conjecture

U2 - 10.1016/j.jalgebra.2010.01.006

DO - 10.1016/j.jalgebra.2010.01.006

M3 - Article

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SP - 1607

EP - 1621

JO - Journal of Algebra

JF - Journal of Algebra

IS - 6

ER -

On stable equivalences and blocks with one simple module

Abstract

Keywords

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Cite this