A reduction theorem for the Alperin weight conjecture

Gabriel Navarro; Pham Huu Tiep

doi:10.1007/s00222-010-0295-2

A reduction theorem for the Alperin weight conjecture

Gabriel Navarro, Pham Huu Tiep

Mathematics

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

43 Scopus citations

Abstract

The Alperin Weight Conjecture was stated by J. Alperin in 1986 and constitutes one of the main problems in the representation theory of finite groups. In this paper, we provide a reduction to simple groups and as an application we prove the conjecture in several cases.

Original language	English (US)
Pages (from-to)	529-565
Number of pages	37
Journal	Inventiones Mathematicae
Volume	184
Issue number	3
DOIs	https://doi.org/10.1007/s00222-010-0295-2
State	Published - Jun 2011

ASJC Scopus subject areas

General Mathematics

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10.1007/s00222-010-0295-2

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title = "A reduction theorem for the Alperin weight conjecture",

abstract = "The Alperin Weight Conjecture was stated by J. Alperin in 1986 and constitutes one of the main problems in the representation theory of finite groups. In this paper, we provide a reduction to simple groups and as an application we prove the conjecture in several cases.",

author = "Gabriel Navarro and Tiep, {Pham Huu}",

note = "Funding Information: The research of the first author is partially supported by the Spanish Ministerio de Educaci{\'o}n y Ciencia proyecto MTM2010-15296. The second author gratefully acknowledges the support of the NSF (grant DMS-0901241).",

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A reduction theorem for the Alperin weight conjecture

Abstract

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