Homology, Homotopy and Applications
Volume 7 (2005)
The complex of words and Nakaoka stability
Pages: 77 – 85
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”.
complex of words, homology stability
2010 Mathematics Subject Classification