Open Access
2005 The complex of words and Nakaoka stability
Moritz C. Kerz
Homology Homotopy Appl. 7(1): 77-85 (2005).


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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Moritz C. Kerz. "The complex of words and Nakaoka stability." Homology Homotopy Appl. 7 (1) 77 - 85, 2005.


Published: 2005
First available in Project Euclid: 13 February 2006

zbMATH: 1090.18009
MathSciNet: MR2155519

Primary: 18G35
Secondary: 20J06

Rights: Copyright © 2005 International Press of Boston

Vol.7 • No. 1 • 2005
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