Dans cette note on calcule entièrement l’homologie de Margolis modulo 2 de l’algèbre de Dickson
Nous montrons que la conjecture de Pengelley–Sinha sur
We completely compute the mod 2 Margolis homology of the Dickson algebra
We show that Pengelley–Sinha’s conjecture on
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@article{CRMATH_2020__358_4_505_0, author = {Hưng, Nguyễn H. V.}, title = {The mod~2 {Margolis} homology of the {Dickson} algebra}, journal = {Comptes Rendus. Math\'ematique}, pages = {505--510}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {4}, year = {2020}, doi = {10.5802/crmath.68}, language = {en}, url = {https://www.numdam.org/articles/10.5802/crmath.68/} }
TY - JOUR AU - Hưng, Nguyễn H. V. TI - The mod 2 Margolis homology of the Dickson algebra JO - Comptes Rendus. Mathématique PY - 2020 SP - 505 EP - 510 VL - 358 IS - 4 PB - Académie des sciences, Paris UR - https://www.numdam.org/articles/10.5802/crmath.68/ DO - 10.5802/crmath.68 LA - en ID - CRMATH_2020__358_4_505_0 ER -
Hưng, Nguyễn H. V. The mod 2 Margolis homology of the Dickson algebra. Comptes Rendus. Mathématique, Tome 358 (2020) no. 4, pp. 505-510. doi : 10.5802/crmath.68. https://www.numdam.org/articles/10.5802/crmath.68/
[1] A fundamental system of invariants of the general modular linear group with a solution of the form problem, Trans. Am. Math. Soc., Volume 12 (1911), pp. 75-98 | DOI | MR | Zbl
[2] The action of the Steenrod squares on the modular invariants of linear groups, Proc. Am. Math. Soc., Volume 113 (1991) no. 4, pp. 1097-1104 | DOI | MR | Zbl
[3] Spherical classes and the Dickson algebra, Proc. Camb. Philos. Soc., Volume 124 (1998) no. 2, pp. 253-264 | MR | Zbl
[4] The Steenrod algebra and its dual, Ann. Math., Volume 67 (1958), pp. 150-171 | DOI | MR | Zbl
[5] Modular invariant theory and the cohomology algebras of symmetric group, J. Fac. Sci., Univ. Tokyo, Sect. I A, Volume 22 (1975), pp. 319-369 | MR | Zbl
[6] Cohomology of symmetric groups, 2019 (Lecture on the Vietnam-US Mathematical joint Metting, Quynhon June 10-13)
[7] Realizability and nonrealizability of Dickson algebras as cohomology rings, Proc. Am. Math. Soc., Volume 89 (1983), pp. 303-313 | DOI | MR | Zbl
[8] The action of the primitive Steenrod-Milnor operations on the modular invariants, Proceedings of the school and conference in algebraic topology, the Vietnam National University, Hanoi, Vietnam, August 9–20, 2004 (Geometry and Topology Monographs), Volume 11, Geometry & Topology Publications, 2004, pp. 349-367 | Zbl
[9] A primer on the Dickson invariants, Proceedings of the Northwestern homotopy theory conference (Contemporary Mathematics), Volume 19, American Mathematical Society, 1983, pp. 421-434 | DOI | MR | Zbl
[10] On the Steenrod algebra of Morava K-theory,
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