Unstable homotopy invariance for finite fields
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.
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
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