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26 April 2024
 
  » arxiv » math.KT/0410261

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The complex of words and Nakaoka stability
Moritz C. Kerz ;
Date 11 Oct 2004
Journal Homology, Homotopy and Applications, Vol. 7(2005), No. 1, pp. 77-85
Subject K-Theory and Homology; Combinatorics | math.KT math.CO
AbstractWe give a new simple proof of the exactness of the complex of injective words and use it to prove Nakaoka’s homology stability for symmetric groups. The methods are generalized to show acyclicity in low degrees for the complex of words in general position.
Source arXiv, math.KT/0410261
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