On stable equivalences and blocks with one simple module

R. Kessar; M. Linckelmann

doi:10.1016/j.jalgebra.2010.01.006

On stable equivalences and blocks with one simple module

R. Kessar, M. Linckelmann

Pure Mathematics

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

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	15
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

Access to Document

10.1016/j.jalgebra.2010.01.006

Cite this

@article{1fbfbfd7b04840ec9d5b4dba5b330e2e,

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 = "R. Kessar and M. Linckelmann",

year = "2010",

month = mar,

day = "15",

doi = "10.1016/j.jalgebra.2010.01.006",

language = "English",

volume = "323",

pages = "1607--1621",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Elsevier BV",

number = "6",

}

TY - JOUR

T1 - On stable equivalences and blocks with one simple module

AU - Kessar, R.

AU - Linckelmann, M.

PY - 2010/3/15

Y1 - 2010/3/15

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

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-75249103415&partnerID=MN8TOARS

U2 - 10.1016/j.jalgebra.2010.01.006

DO - 10.1016/j.jalgebra.2010.01.006

M3 - Article

SN - 0021-8693

VL - 323

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

Access to Document

Other files and links

Fingerprint

Cite this