A reduction theorem for the Alperin weight conjecture

Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticle

19 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)529-565
Number of pages37
JournalInventiones Mathematicae
Volume184
Issue number3
DOIs
StatePublished - Jun 2011

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Simple group
Representation Theory
Theorem
Finite Group

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A reduction theorem for the Alperin weight conjecture. / Navarro, Gabriel; Tiep, Pham Huu.

In: Inventiones Mathematicae, Vol. 184, No. 3, 06.2011, p. 529-565.

Research output: Contribution to journalArticle

Navarro, Gabriel ; Tiep, Pham Huu. / A reduction theorem for the Alperin weight conjecture. In: Inventiones Mathematicae. 2011 ; Vol. 184, No. 3. pp. 529-565.
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