Twisted homology of symmetric groups
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- by Stanislaw Betley
- Proc. Amer. Math. Soc. 130 (2002), 3439-3445
- DOI: https://doi.org/10.1090/S0002-9939-02-06763-1
- Published electronically: July 2, 2002
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Abstract:
We study the homology of symmetric groups $\Sigma _{n}$ with coefficients coming from the functor $T:\textit {finite\ pointed\ sets }\to Ab$. We are primarily interested in the limit $co\lim _{n}H_{*}(\Sigma _{n};T([n]))$ where $[n]=\{ 0,1,...,n\}$. Our main goal is to compare the described above situation with the case of general linear groups.References
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Bibliographic Information
- Stanislaw Betley
- Affiliation: Instytut Matematyki, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland
- Email: betley@mimuw.edu.pl
- Received by editor(s): October 4, 2000
- Published electronically: July 2, 2002
- Additional Notes: The author was partially supported by the Polish Scientific Grant (KBN) 2 P03A 01113
- Communicated by: Ralph Cohen
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3439-3445
- MSC (1991): Primary 20J06; Secondary 18G99
- DOI: https://doi.org/10.1090/S0002-9939-02-06763-1
- MathSciNet review: 1918818