ANNALES DE L'INSTITUT FOURIER

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[2] Adams, J. F. On the non-existence of elements of Hopf invariant one, Ann. of Math., Volume 72 (1960), pp. 20-104 | DOI | MR | Zbl

[3] Alghamdi, M. A.; Crabb, M. C.; Hubbuck, J. R. Representations of the homology of $BV$ and the Steenrod algebra I, London Math. Soc. Lecture Note Ser., Volume 176 (1992), pp. 217-234 | MR | Zbl

[4] Barratt, M. G.; Priddy, S. On the homology of non-connected monoids and their associated groups, Comment. Math. Helv., Volume 47 (1972), pp. 1-14 | DOI | MR | Zbl

[5] Boardman, J. M. Modular representations on the homology of powers of real projective spaces, Contemp. Math., Volume 146 (1993), pp. 49-70 | MR | Zbl

[6] Bosma, W.; Cannon, J.; Playoust, C. The Magma algebra system I : The user language, J. Symbolic Comput., Volume 24 (1997), pp. 235-265 | DOI | MR | Zbl

[7] Bousfield, A. K.; Curtis, E. B.; Kan, D. M.; Quillen, D. G.; Rector, D. L.; Schlesinger, J. W. The mod $p$ lower central series and the Adams spectral sequence, Topology, Volume 5 (1966), pp. 331-342 | DOI | MR | Zbl

[8] Bruner, R.; Hà, L. M.; Hung, N. H. V. On behavior of the algebraic transfer, à paraître dans Trans. Amer. Math. Soc. | MR | Zbl

[9] Crabb, M. C.; Hubbuck, J. R. Representations of the homology of $BV$ and the Steenrod algebra II, Progr. Math., Volume 136 (1996), pp. 143-154 | MR | Zbl

[10] Crossley, M. D. $𝒜\left(p\right)$-annihilated elements in $H_{*}(ℂP^{\infty }\times ℂP^{\infty })$, Math. Proc. Cambridge Philos. Soc., Volume 120 (1996), pp. 441-453 | DOI | MR | Zbl

[11] Crossley, M. D. $𝒜\left(p\right)$ generators for $H^{*}V$ and Singer’s homological transfer, Math. Z., Volume 230 (1999), pp. 401-411 | DOI | Zbl

[12] Crossley, M. D. Monomial bases for $H^{*}(ℂP^{\infty }\times ℂP^{\infty })$ over $𝒜\left(p\right)$, Trans. Amer. Math. Soc., Volume 351 (1999), pp. 171-192 | DOI | MR | Zbl

[13] Curtis, E. B. The Dyer–Lashof algebra and the $\Lambda$-algebra, Illinois J. Math., Volume 19 (1975), pp. 231-246 | MR | Zbl

[14] Dyer, E.; Lashof, R. K. Homology of iterated loopspaces, Amer. J. Math., Volume 84 (1962), pp. 35-88 | DOI | MR | Zbl

[15] Eilenberg, S.; MacLane, S. On the groups $H(\pi ,n)$, I, Ann. of Math., Volume 58 (1953), pp. 55-106 | DOI | MR | Zbl

[16] Goerss, P. Unstable projectives and stable Ext : with applications, Proc. London Math. Soc., Volume 53 (1986), pp. 539-561 | DOI | MR | Zbl

[17] Hà, L. M. Sub-Hopf algebras of the Steenrod algebra and the Singer transfer, in preparation

[18] Hung, N. H. V. The cohomology of the Steenrod algebra and representations of the general linear groups, à paraître dans Trans. Amer. Math. Soc. | MR | Zbl

[19] Hung, N. H. V. Spherical classes and the algebraic transfer, Trans. Amer. Math. Soc., Volume 349 (1997), pp. 3893-3910 Erratum 355 (2003), p. 3841–3842 | DOI | MR | Zbl

[20] Hung, N. H. V.; Nam, T. N. The hit problem for the Dickson algebra, Trans. Amer. Math. Soc., Volume 353 (2001), pp. 5029-5040 | DOI | MR | Zbl

[21] Kameko, M. Generators of the cohomology of $B{V}_4$, in preparation

[22] Kameko, M. Products of projective spaces as Steenrod modules, Johns Hopkins University, May (1990) (Ph. D. Thesis)

[23] Lannes, J.; Zarati, S. Foncteurs dérivés de la déstabilisation, C. R. Acad. Sci. Paris Sér. I Math., Volume 296 (1983), pp. 573-576 | MR | Zbl

[24] Lannes, J.; Zarati, S. Invariants de Hopf d’ordre supérieur et suite spectrale d’Adams, C. R. Acad. Sci. Paris Sér. I Math., Volume 296 (1983), pp. 695-698 | Zbl

[25] Lannes, J.; Zarati, S. Sur les foncteurs dérivés de la déstabilisation, Math. Z., Volume 194 (1987), pp. 25-59 | DOI | MR | Zbl

[26] Lin, W. H. Some differentials in the Adams spectral sequence for spheres, preprint

[27] Liulivicius, A. The factorization of cyclic reduced powers by secondary operations, 42, Mem. Amer. Math. Soc., 1962 | Zbl

[28] Mac Lane, S. Homology, Classics in Mathematics, Springer–Verlag, Berlin, 1995 | MR | Zbl

[29] Madsen, I. On the action of the Dyer–Lashof algebra in $H_{*}\left(G\right)$, Pacific J. Math., Volume 60 (1975), pp. 235-275 | MR | Zbl

[30] Mahowald, M.; Tangora, M. An infinite subalgebra of $Ex{t}_{𝒜}({\mathbb{Z}}_2,{\mathbb{Z}}_2)$, Trans. Amer. Math. Soc., Volume 132 (1968), pp. 263-274 | DOI | MR | Zbl

[31] Mann, B. M.; Miller, E. Y.; Miller, H. R. $S^1$-equivariant function spaces and characteristic classes, Trans. Amer. Math. Soc., Volume 295 (1986), pp. 233-256 | MR | Zbl

[32] Margolis, H.; Priddy, S.; Tangora, M. Another systematic phenomenon in the cohomology of the Steenrod algebra, Topology, Volume 10 (1970), pp. 43-46 | DOI | MR | Zbl

[33] Margolis, H. R. Spectra and the Steenrod algebra, 29, North–Holland Mathematical Library, 1983 | MR | Zbl

[34] May, J. P. The cohomology of restricted Lie algebras and Hopf algebras, applications to the Steenrod algebra, Ph.D. Thesis, Princeton University, 1964 | MR

[35] Milnor, J. The Steenrod algebra and its dual, Ann. of Math., Volume 67 (1958), pp. 150-171 | DOI | MR | Zbl

[36] Minami, N. The Adams spectral sequence and the triple transfer, Amer. J. Math., Volume 117 (1995), pp. 965-985 | DOI | MR | Zbl

[37] Minami, N. On the Kervaire invariant problem, Contemp. Math., Amer. Math. Soc., Providence, RI, Volume 220 (1998), pp. 229-253 | MR | Zbl

[38] Minami, N. The iterated transfer analogue of the new doomsday conjecture, Trans. Amer. Math. Soc., Volume 351 (1999), pp. 2325-2351 | DOI | MR | Zbl

[39] Mitchell, S. Splitting $B{(\mathbb{Z}/p)}^n$ and $B{T}^n$ via modular representation theory, Math. Z., Volume 189 (1985), pp. 1-9 | DOI | MR | Zbl

[40] Mùi, H. Modular invariant theory and cohomology algebras of symmetric groups, J. Fac. Sci. Univ. Tokyo Sect. IA Math., Volume 22 (1975), pp. 319-369 | MR | Zbl

[41] Nam, T. N. $𝒜$-générateurs génériques pour l’algèbre polynomiale, à paraître dans Advances in Mathematics | Zbl

[42] Nam, T. N. Système générateur minimal de ${𝔽}_2[x,y,z]$ comme module sur l’algèbre de Steenrod, (en langue vietnamienne), Mémoire de fin d’études universitaires, Université des Sciences à Hanoï, 1999

[43] Novikov, S. P. On the cohomology of the Steenrod algebra (Russian), Dokl. Akad. Nauk SSSR, Volume 128 (1959), pp. 893-895 | MR | Zbl

[44] Palmieri, J. H. Quillen stratification for the Steenrod algebra, Ann. of Math., Volume 149 (1999), pp. 421-449 | DOI | MR | Zbl

[45] Peterson, F. P. Generators of $H^{*}(ℝP^{\infty }\wedge ℝP^{\infty })$ as a module over the Steenrod algebra, Abstracts Amer. Math. Soc., 833–55–89, 1987

[46] Peterson, F. P. $𝒜$-generators for certain polynomial algebras, Math. Proc. Cambridge Philos. Soc., Volume 105 (1989), pp. 311-312 | DOI | MR | Zbl

[47] Quillen, D. On the completion of a simplicial monoid, preprint

[48] Schwartz, L. Unstable modules over the Steenrod algebra and Sullivan’s fixed point set conjecture, Chicago Lectures in Math., 1994 | Zbl

[49] Singer, W. M. On finite linear groups and the homology of the Steenrod algebra, preprint, 1980

[50] Singer, W. M. Invariant theory and the lambda algebra, Trans. Amer. Math. Soc., Volume 280 (1983), pp. 673-693 | DOI | MR | Zbl

[51] Singer, W. M. The transfer in homological algebra, Math. Z., Volume 202 (1989), pp. 493-523 | DOI | MR | Zbl

[52] Steenrod, N. E.; Epstein, D. B. A. Cohomology operations, Ann. of Math. Stud., 50, Princeton University Press, 1962 | MR | Zbl

[53] Tangora, M. C. On the cohomology of the Steenrod algebra, Math. Z., Volume 116 (1970), pp. 18-64 | DOI | MR | Zbl

[54] Trí, T. T. The irreducible modular representations of parabolic subgroups of general linear groups, Comm. Algebra, Volume 26 (1998), pp. 41-47 | DOI | MR | Zbl

[55] Wang, J. S. P. On the cohomology of the mod 2 Steenrod algebra and the nonexistence of elements of Hopf invariant one, Illinois J. Math., Volume 11 (1967), pp. 480-490 | MR | Zbl

[56] Wilkerson, C. Classifying spaces, Steenrod operations and algebraic closure, Topology, Volume 16 (1977), pp. 227-237 | DOI | MR | Zbl

[57] Wood, R. M. W. Steenrod squares of polynomials, London Math. Soc. Lecture Note Ser., Volume 139 (1989), pp. 173-177 | MR | Zbl

[58] Wood, R. M. W. Steenrod squares of polynomials and the Peterson conjecture, Math. Proc. Cambridge Philos. Soc., Volume 105 (1989), pp. 307-309 | DOI | MR | Zbl

[59] Wood, R. M. W. Problems in the Steenrod algebra, Bull. London Math. Soc., Volume 146 (1998), pp. 449-517 | DOI | MR | Zbl

[60] Yoneda, N. Notes on products in Ext, Proc. Amer. Math. Soc., Volume 9 (1958), pp. 873-875 | MR | Zbl

[61] Zachariou, A. A subalgebra of $Ex{t}_{𝒜}^{**}({\mathbb{Z}}_2,{\mathbb{Z}}_2)$, Bull. London Math. Soc., Volume 73 (1967), pp. 647-648 | MR | Zbl

[62] Zachariou, A. A polynomial subalgebra of the cohomology of the Steenrod algebra, Publ. Res. Inst. Math. Sci., Volume 9 ((1973/74), pp. 157-164 | DOI | MR | Zbl