2003•Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

On triviality of Dickson invariants in the homology of the Steenrod algebra

Nguyễn Hữu Hùng

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Abstract

Let variables. We study the Lannes–Zarati homomorphisms \[ \varphi_k:{\rm Ext}_{{\cal A}}^{k, k+i}({\bb F}_2,{\bb F}_2)\rightarrow ({\bb F}_2\otimes_{{\cal A}}D_k)^{*}_{i}, \] which correspond to an associated graded of the Hurewicz map through the Lannes–Zarati homomorphism.

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Let variables. We study the Lannes–Zarati homomorphisms \[ \varphi_k:{\rm Ext}_{{\cal A}}^{k, k+i}({\bb F}_2,{\bb F}_2)\rightarrow ({\bb F}_2\otimes_{{\cal A}}D_k)^{*}_{i}, \] which correspond to an associated graded of the Hurewicz map through the Lannes–Zarati homomorphism.

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Available abstract

Let variables. We study the Lannes–Zarati homomorphisms \[ \varphi_k:{\rm Ext}_{{\cal A}}^{k, k+i}({\bb F}_2,{\bb F}_2)\rightarrow ({\bb F}_2\otimes_{{\cal A}}D_k)^{*}_{i}, \] which correspond to an associated graded of the Hurewicz map through the Lannes–Zarati homomorphism.

Key concepts: Triviality, Homomorphism, Steenrod algebra, Mathematics, Homology (biology), Combinatorics, Pure mathematics, Algebra over a field

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