Cohomology of Groups and Unstable Modules over the Steenrod Algebra.

Hans-Werner Henn (1)

1 IRMA - Institut de Recherche Mathématique Avancée

"The presence of Steenrod operations in the mod - $p$ cohomology ring $H^*(BG;FF_p)$ of the classifying space $BG$ of a group $G$ allows to understand qualitative features of this ring, at least for a large class of groups including all compact Lie groups but also for many discrete groups like arithmetic groups, mapping class groups and automorphism groups of free groups. We explain the relevant theory of unstable modules over the Steenrod algebra and indicate how this general theory can be used in the qualitative and quantitative study of group cohomology. endabstract "

Mots clés: Cohomology of groups; "Cohomology of groups; Unstable modules; Steenrod algebra

Domaines: Topologie algébrique [math.AT]

Hans-Werner Henn. Cohomology of Groups and Unstable Modules over the Steenrod Algebra.. Homotopy Theoretic Methods in Group Cohomology, Birkhäuser Verlag, 2001, ⟨10.1007/978-3-0348-8356-6_2⟩. ⟨hal-00129584⟩