Authors
Citation
Rm. Dotzel, EQUIVARIANT MAPS FOR HOMOLOGY REPRESENTATIONS, Proceedings of the American Mathematical Society, 121(3), 1994, pp. 961-965
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00029939
Volume
121
Issue
3
Year of publication
1994
Pages
961 - 965
Database
ISI
SICI code
0002-9939(1994)121:3<961:EMFHR>2.0.ZU;2-N
Abstract
If Y is a homotopy representation of the finite group G of order n and
X is a finite G-CW complex such that, for each subgroup H of G, H(X(
H); Z(n)) = H(Y(H); Z(n)) then there exists a G-map f: X --> Y such t
hat f(H): H*(X(H); Z(n)) --> H*(Y(H); Z(n)) is an isomorphism for eac
h subgroup H.