Geodesic
Unstable homotopy invariance for finite fields
Kevin P. Knudson1
1 Department of Mathematics and Statistics Mississippi State University P.O. Drawer MA Mississippi State, MS 39762, U.S.A.
Fundamenta Mathematicae, Tome 175 (2002) no. 2, pp. 155-162.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that if $k$ is a finite field with $p^d$ elements, then the natural map $H_i({\rm GL}_n(k),{\mathbb Z})\to H_i({\rm GL}_n(k[t]),{\mathbb Z})$ is an isomorphism for $0\le i d(p-1)$ and for all $n$.
DOI : 10.4064/fm175-2-5
Keywords: prove finite field elements natural map mathbb mathbb isomorphism p

Kevin P. Knudson 1

1 Department of Mathematics and Statistics Mississippi State University P.O. Drawer MA Mississippi State, MS 39762, U.S.A. 
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Kevin P. Knudson. Unstable homotopy invariance for finite fields. Fundamenta Mathematicae, Tome 175 (2002) no. 2, pp. 155-162. doi : 10.4064/fm175-2-5. http://geodesic.mathdoc.fr/articles/10.4064/fm175-2-5/

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