Abstract
We discuss the topological realisation of certain Z/2-algebras A(n) over the mod 2 Steenrod algebra A(2). If an associative H-space X(n) satisfies H*(X(n); Z/2)≅A(n), the mod 2 cohomology of its classifying space is isomorphic to the algebra of invariants of the canonical Gln(Z/2)-action on a graded polynomial algebra in n variables of degree 1.
Keywords
- Polynomial Algebra
- Topological Realisation
- Operation Cohomologiques
- Steenrod Algebra
- Dickson Algebra
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© 1992 Springer-Verlag
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Jeanneret, A., Suter, U. (1992). Réalisation topologique de certaines algèbres associées aux algèbres de Dickson. In: Aguadé, J., Castellet, M., Cohen, F.R. (eds) Algebraic Topology Homotopy and Group Cohomology. Lecture Notes in Mathematics, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087513
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DOI: https://doi.org/10.1007/BFb0087513
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55195-9
Online ISBN: 978-3-540-46772-4
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