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".
Citation
Moritz C. Kerz. "The complex of words and Nakaoka stability." Homology Homotopy Appl. 7 (1) 77 - 85, 2005.
Information
Published: 2005
First available in Project Euclid: 13 February 2006
zbMATH: 1090.18009
MathSciNet: MR2155519
Subjects:
Primary:
18G35
Secondary:
20J06
Rights: Copyright © 2005 International Press of Boston
