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2003•Journal of the London Mathematical SocietyRequires access

ALPERIN'S WEIGHT CONJECTURE AND CHAIN COMPLEXES

Robert Boltje

Open publisher page 5 citations

Abstract

It is shown that Alperin's weight conjecture is equivalent to the existence of contractible chain complexes whose entries have the right dimension coming from some of the alternating sum formulations. It is conjectured that for the other formulations and for Dade's ordinary conjecture, there also exist such contractible chain complexes.

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What this paper is about

It is shown that Alperin's weight conjecture is equivalent to the existence of contractible chain complexes whose entries have the right dimension coming from some of the alternating sum formulations. It is conjectured that for the other formulations and for Dade's ordinary conjecture, there also exist such contractible chain complexes.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

It is shown that Alperin's weight conjecture is equivalent to the existence of contractible chain complexes whose entries have the right dimension coming from some of the alternating sum formulations. It is conjectured that for the other formulations and for Dade's ordinary conjecture, there also exist such contractible chain complexes.

Key concepts: Contractible space, Conjecture, Chain (unit), Mathematics, Combinatorics, Dimension (graph theory), Pure mathematics, Physics

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