The complex of words and Nakaoka stability

Details The complex of words and Nakaoka stability The complex of words and Nakaoka stability

2004-10-11

arxiv.org/abs/math/0410261v2

Homology, Homotopy and Applications, Vol. 7(2005), No. 1, pp. 77-85

Mathematics

K-Theory and Homology

8 pages, improved notation

Scientific paper

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.

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