Geodesic
The Stable and Unstable Types of Classifying Spaces
Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 341-351

Voir la notice de l'article provenant de la source Cambridge University Press

The main purpose of this paper is to study groups G 1, G 2 such that H*(BG1, Z/p) is isomorphic to H*(BG2, Z/p) in U, the category of unstable modules over the Steenrod algebra A, but not isomorphic as graded algebras over Z/p.
DOI : 10.4153/CMB-1997-040-4
Mots-clés : Primary: 55R35, secondary: 20J06 
Lee, Hyang-Sook. The Stable and Unstable Types of Classifying Spaces. Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 341-351. doi: 10.4153/CMB-1997-040-4
@article{10_4153_CMB_1997_040_4,
     author = {Lee, Hyang-Sook},
     title = {The {Stable} and {Unstable} {Types} of {Classifying} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {341--351},
     year = {1997},
     volume = {40},
     number = {3},
     doi = {10.4153/CMB-1997-040-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-040-4/}
}
TY  - JOUR
AU  - Lee, Hyang-Sook
TI  - The Stable and Unstable Types of Classifying Spaces
JO  - Canadian mathematical bulletin
PY  - 1997
SP  - 341
EP  - 351
VL  - 40
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-040-4/
DO  - 10.4153/CMB-1997-040-4
ID  - 10_4153_CMB_1997_040_4
ER  - 
%0 Journal Article
%A Lee, Hyang-Sook
%T The Stable and Unstable Types of Classifying Spaces
%J Canadian mathematical bulletin
%D 1997
%P 341-351
%V 40
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-040-4/
%R 10.4153/CMB-1997-040-4
%F 10_4153_CMB_1997_040_4

[1] 1. Evens, L., The Cohomology of Groups, Oxford Science Publications, 1991. Google Scholar

[2] 2. Henn, H. W., Lannes, J. and Schwartz, L., Analytic functors unstable algebras and cohomology of classifying spaces, Contemporary Math. 96, Amer. Math. Soc. (1989), 197–220. Google Scholar

[3] 3. Landrock, P., Finite Group Algebra and Their Modules, London Math. Soc. Lecture Note Series, Cambridge Univ. Press, Cambridge, 1983. Google Scholar

[4] 4. Martino, J. and Priddy, S., A classification of the stable type of BG, Bull. Amer.Math. Soc. (1) 27 (1992), 165–170. Google Scholar

[5] 5. Martino, J. and Priddy, S., The complete stable splitting of the classifying space of a finite group, Topology 31 (1992), 143–156. Google Scholar

[6] 6. Nishida, G., Stable homotopy type of classifying spaces of finite groups, Algebraic and Topological Theories (1985), 391–404. Google Scholar

[7] 7. Priddy, S., Recent progress in stable splittings, Homotopy Theory, Proc. of Durham Symposium 1985, London Math. Soc. Lecture Note Series 117 (1987), 149–174. Google Scholar

[8] 8. Serre, J. P., Linear Representations of Finite Groups, Springer Verlag, New York, 1977. Google Scholar

[9] 9. Steenrod, N. and Epstein, D. B. A., Cohomology Operations, Ann. Math. Studies 50, Princeton Univ. Press, Princeton, 1962. Google Scholar

[10] 10. Switzer, R., Algebraic Topology—Homotopy and Homology, Springer Verlag, Berlin, Heidelberg, New York, 1975. Google Scholar

Cité par Sources :