The complex of words and Nakaoka stability
K-Theory and Homology
2014-11-18 v2 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.math/0410261,
title = {The complex of words and Nakaoka stability},
author = {Moritz C. Kerz},
journal= {arXiv preprint arXiv:math/0410261},
year = {2014}
}
Comments
8 pages, improved notation