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ALPERIN'S WEIGHT CONJECTURE AND CHAIN COMPLEXES

Published online by Cambridge University Press:  08 August 2003

ROBERT BOLTJE
Affiliation:
Department of Mathematics University of California Santa Cruz CA 95064 USAboltje@math.ucsc.edu
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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.

Type
Notes and Papers
Copyright
The London Mathematical Society 2003

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Footnotes

Research supported by the NSF, DMS-0070630.