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On unstable modules over the Dickson algebras, the Singer functors $R_s$ and the functors $\mathrm{Fix}_s$

Geoffrey M L Powell

Algebraic & Geometric Topology 12 (2012) 2451–2491
Bibliography
1 J F Adams, C W Wilkerson, Finite H–spaces and algebras over the Steenrod algebra, Ann. of Math. 111 (1980) 95 MR558398
2 A Djament, Foncteurs en grassmanniennes, filtration de Krull et cohomologie des foncteurs, Mém. Soc. Math. Fr. (2007) MR2482711
3 W G Dwyer, C W Wilkerson, Smith theory revisited, Ann. of Math. 127 (1988) MR924676
4 W G Dwyer, C W Wilkerson, Smith theory and the functor T, Comment. Math. Helv. 66 (1991) 1 MR1090162
5 W G Dwyer, C W Wilkerson, Kähler differentials, the T–functor, and a theorem of Steinberg, Trans. Amer. Math. Soc. 350 (1998) 4919 MR1621741
6 P Gabriel, Des catégories abéliennes, Bull. Soc. Math. France 90 (1962) 323 MR0232821
7 H W Henn, Commutative algebra of unstable K–modules, Lannes’ T–functor and equivariant mod–p cohomology, J. Reine Angew. Math. 478 (1996) 189 MR1409058
8 H W Henn, J Lannes, L Schwartz, The categories of unstable modules and unstable algebras over the Steenrod algebra modulo nilpotent objects, Amer. J. Math. 115 (1993) 1053 MR1246184
9 H W Henn, J Lannes, L Schwartz, Localizations of unstable A–modules and equivariant mod p cohomology, Math. Ann. 301 (1995) 23 MR1312569
10 J Lannes, Sur les espaces fonctionnels dont la source est le classifiant d’un p–groupe abélien élémentaire, Inst. Hautes Études Sci. Publ. Math. (1992) 135 MR1179079
11 J Lannes, S Zarati, Sur les foncteurs dérivés de la déstabilisation, Math. Z. 194 (1987) 25 MR871217
12 J Lannes, S Zarati, Théorie de Smith algébrique et classification des HVU–injectifs, Bull. Soc. Math. France 123 (1995) 189 MR1340287
13 J Lannes, S Zarati, Tor- et Ext-dimensions des HVA–modules instables qui sont de type fini comme HV –modules, from: "Algebraic topology : New trends in localization and periodicity" (editors C Broto, C Casacuberta, G Mislin), Progr. Math. 136, Birkhäuser (1996) 241 MR1397735
14 D Mekkia, Sur les catégories KU, Thèse de troisième cycle, Université de Tunis II (1994)
15 D M Meyer, Injective objects in categories of unstable K–modules, 316, Universität Bonn Mathematisches Institut (1999) MR1932593
16 M D Neusel, L Smith, Invariant theory of finite groups, 94, American Mathematical Society (2002) MR1869812
17 G M L Powell, Module structures and the derived functors of iterated loop functors on unstable modules over the Steenrod algebra, J. Pure Appl. Algebra 214 (2010) 1435 MR2593673
18 D L Rector, Noetherian cohomology rings and finite loop spaces with torsion, J. Pure Appl. Algebra 32 (1984) 191 MR741965
19 L Schwartz, Unstable modules over the Steenrod algebra and Sullivan’s fixed point set conjecture, University of Chicago Press (1994) MR1282727
20 W M Singer, The construction of certain algebras over the Steenrod algebra, J. Pure Appl. Algebra 11 (1977/78) 53 MR0467746
21 W M Singer, On the localization of modules over the Steenrod algebra, J. Pure Appl. Algebra 16 (1980) 75 MR549705
22 W M Singer, A new chain complex for the homology of the Steenrod algebra, Math. Proc. Cambridge Philos. Soc. 90 (1981) 279 MR620738
23 W M Singer, Invariant theory and the lambda algebra, Trans. Amer. Math. Soc. 280 (1983) 673 MR716844
24 C Wilkerson, Classifying spaces, Steenrod operations and algebraic closure, Topology 16 (1977) 227 MR0442932
25 C Wilkerson, A primer on the Dickson invariants, from: "Proceedings of the Northwestern Homotopy Theory Conference" (editors H R Miller, S B Priddy), Contemp. Math. 19, Amer. Math. Soc. (1983) 421 MR711066