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Alperin's Weight Conjecture and Chain Complexes
Author(s) -
Boltje Robert
Publication year - 2003
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610703004265
Subject(s) - contractible space , conjecture , chain (unit) , mathematics , combinatorics , dimension (graph theory) , pure mathematics , physics , astronomy
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.