Théorie de Smith algébrique et classification des $H\sp*V$-$\cal{U}$-injectifs

DOI10.24033/bsmf.2256zbMath0862.55002OpenAlexW2252968275MaRDI QIDQ4849114

Jean Lannes, Zaïd Zarati

Publication date: 25 May 1997

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1995__123_2_189_0

zbMATH Keywords

cohomologygroup actionsSmith theorySteenrod algebraunstable moduleselementary abelian \(p\)-groupinjectivesprincipal \(V\)-bundle

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Projectives and injectives (category-theoretic aspects) (18G05)

Related Items

Depth and the Steenrod algebra (with an appendix by J. Lannes), On unstable modules over the Dickson algebras, the Singer functors \(R_{s}\) and the functors \(Fix_{S}\), Deligne-Lusztig characters of the finite general linear groups and eigenvectors of Lannes' T-functor, Homotopy Lie groups, Polynomial invariants of finite groups. A survey of recent developments, On functional spaces whose source is in the classifying space of a commutative compact Lie group

Cites Work

• Unnamed Item
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• Smith theory and the functor T
• Smith theory revisited
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Classifying spaces, Steenrod operations and algebraic closure
• Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology
• Sur la structure des A-modules instables injectifs
• Sur la dimension cohomologique des groupes profinis
• The spectrum of an equivariant cohomology ring. I. II
• Homotopy limits, completions and localizations
• Seminar on Transformation Groups. (AM-46)
• Sur les ${\scr U}$-injectifs
• The 𝑚𝑜𝑑2 cohomology structure of certain fibre spaces
• Des catégories abéliennes