Symmetric groups, wreath products, Morita equivalences, and Broué's abelian defect group conjecture

J Chuang; R Kessar

doi:10.1112/S0024609301008839

Symmetric groups, wreath products, Morita equivalences, and Broué's abelian defect group conjecture

J Chuang, R Kessar

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

36 Citations (Scopus)

Abstract

It is shown that for any prime p, and any non-negative integer w less than p, there exist p-blocks of symmetric groups of defect w, which are Morita equivalent to the principal p-block of the group Sp o Sw. Combined with work of J. Rickard, this proves that Broue's abelian defect group conjecture holds for p-blocks of symmetric groups of defect at most 5.

Translated title of the contribution	Symmetric groups, wreath products, Morita equivalences, and Broué's abelian defect group conjecture
Original language	English
Pages (from-to)	174 - 184
Number of pages	11
Journal	Bulletin of the London Mathematical Society
Volume	34 (2)
DOIs	https://doi.org/10.1112/S0024609301008839
Publication status	Published - Mar 2002

Bibliographical note

Publisher: Cambridge University Press
Other identifier: EISSN: 1469-2120

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title = "Symmetric groups, wreath products, Morita equivalences, and Brou{\'e}'s abelian defect group conjecture",

abstract = "It is shown that for any prime p, and any non-negative integer w less than p, there exist p-blocks of symmetric groups of defect w, which are Morita equivalent to the principal p-block of the group Sp o Sw. Combined with work of J. Rickard, this proves that Broue's abelian defect group conjecture holds for p-blocks of symmetric groups of defect at most 5.",

author = "J Chuang and R Kessar",

note = "Publisher: Cambridge University Press Other identifier: EISSN: 1469-2120 ",

year = "2002",

month = mar,

doi = "10.1112/S0024609301008839",

language = "English",

volume = "34 (2)",

pages = "174 -- 184",

journal = "Bulletin of the London Mathematical Society",

issn = "1469-2120",

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T1 - Symmetric groups, wreath products, Morita equivalences, and Broué's abelian defect group conjecture

AU - Chuang, J

AU - Kessar, R

N1 - Publisher: Cambridge University Press Other identifier: EISSN: 1469-2120

PY - 2002/3

Y1 - 2002/3

N2 - It is shown that for any prime p, and any non-negative integer w less than p, there exist p-blocks of symmetric groups of defect w, which are Morita equivalent to the principal p-block of the group Sp o Sw. Combined with work of J. Rickard, this proves that Broue's abelian defect group conjecture holds for p-blocks of symmetric groups of defect at most 5.

AB - It is shown that for any prime p, and any non-negative integer w less than p, there exist p-blocks of symmetric groups of defect w, which are Morita equivalent to the principal p-block of the group Sp o Sw. Combined with work of J. Rickard, this proves that Broue's abelian defect group conjecture holds for p-blocks of symmetric groups of defect at most 5.

U2 - 10.1112/S0024609301008839

DO - 10.1112/S0024609301008839

M3 - Article (Academic Journal)

SN - 1469-2120

VL - 34 (2)

SP - 174

EP - 184

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

ER -

Symmetric groups, wreath products, Morita equivalences, and Broué's abelian defect group conjecture

Abstract

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