Unstable homotopy invariance for finite fields

Kevin P. Knudson. "Unstable homotopy invariance for finite fields." Fundamenta Mathematicae 175.2 (2002): 155-162. <http://eudml.org/doc/283088>.

@article{KevinP2002,
abstract = {We prove that if k is a finite field with $p^\{d\}$ elements, then the natural map $H_i(GLₙ(k),ℤ) → H_i(GLₙ(k[t]),ℤ)$ is an isomorphism for 0 ≤ i < d(p-1) and for all n.},
author = {Kevin P. Knudson},
journal = {Fundamenta Mathematicae},
keywords = {Bruhat Tits buildings; cohomology; spectral sequences},
language = {eng},
number = {2},
pages = {155-162},
title = {Unstable homotopy invariance for finite fields},
url = {http://eudml.org/doc/283088},
volume = {175},
year = {2002},
}

TY - JOUR
AU - Kevin P. Knudson
TI - Unstable homotopy invariance for finite fields
JO - Fundamenta Mathematicae
PY - 2002
VL - 175
IS - 2
SP - 155
EP - 162
AB - We prove that if k is a finite field with $p^{d}$ elements, then the natural map $H_i(GLₙ(k),ℤ) → H_i(GLₙ(k[t]),ℤ)$ is an isomorphism for 0 ≤ i < d(p-1) and for all n.
LA - eng
KW - Bruhat Tits buildings; cohomology; spectral sequences
UR - http://eudml.org/doc/283088
ER -