On the Homology of the General Linear Groups Over Z/4
Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 851-855
Voir la notice de l'article provenant de la source Cambridge University Press
Let p be a prime. The algebraic K-theory of Z/p2 is unknown. However it is easy to show that Ki(Z/p2) is finite if i > 0 and that it differs only in its K-torsion from Ki(Z/p) which was computed in [2]. To proceed further one surely needs the mod p (co-)homology of GLZ/p2. There is an exact sequence
Snaith, Victor. On the Homology of the General Linear Groups Over Z/4. Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 851-855. doi: 10.4153/CJM-1978-073-x
@article{10_4153_CJM_1978_073_x,
author = {Snaith, Victor},
title = {On the {Homology} of the {General} {Linear} {Groups} {Over} {Z/4}},
journal = {Canadian journal of mathematics},
pages = {851--855},
year = {1978},
volume = {30},
number = {4},
doi = {10.4153/CJM-1978-073-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-073-x/}
}
[1] 1. Friedlander, E. M., Computations of K-theories of finite fields, Topology 15 (1976), 87–109. Google Scholar
[2] 2. Quillen, D. G., On the cohomology and K-theory of the general linear group over a finite field, Annals of Math 96 (1972), 552–586. Google Scholar
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