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Homology operations derived from modular coinvariants

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Algebraic Topology Göttingen 1984

Part of the book series: Lecture Notes in Mathematics ((2766,volume 1172))

Abstract

Let GLn — GL(n,Z/2) and Tn be the lower triangular subgroup of GLn. In this paper we introduce the homology operations derived from the coinvariants of Tn and the homology operations derived from the Dickson coinvariants of GLn. The theory is developed in a very simple way. As a consequence of this theory, we can describe what will be called the "extended Dyer-Lashof algebra" and the well known algebra in terms of the coinvariants of Tn and the coinvariants of GLn.

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Larry Smith

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© 1985 Springer-Verlag

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Mui, H. (1985). Homology operations derived from modular coinvariants. In: Smith, L. (eds) Algebraic Topology Göttingen 1984. Lecture Notes in Mathematics, vol 1172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074426

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  • DOI: https://doi.org/10.1007/BFb0074426

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16061-8

  • Online ISBN: 978-3-540-39745-8

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