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ALPERIN'S WEIGHT CONJECTURE AND CHAIN COMPLEXES

Published online by Cambridge University Press:  08 August 2003

ROBERT BOLTJE
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.

Keywords

20C2020C1520J0518G3555U15

Information

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 83 - 101
Copyright
The London Mathematical Society 2003

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Footnotes

Research supported by the NSF, DMS-0070630.