Geodesic
The complex of words and Nakaoka stability
Homology, homotopy, and applications, Tome 7 (2005) no. 1, pp. 77-85.

Voir la notice de l'article provenant de la source International Press of Boston

We 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”.
DOI : 10.4310/HHA.2005.v7.n1.a5
Classification : 18G35, 20J06
Keywords: complex of words, homology stability 
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     author = {Moritz C. Kerz},
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Moritz C. Kerz. The complex of words and Nakaoka stability. Homology, homotopy, and applications, Tome 7 (2005) no. 1, pp. 77-85. doi : 10.4310/HHA.2005.v7.n1.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2005.v7.n1.a5/

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