Chapter

Algebraic Topology Göttingen 1984

Volume 1172 of the series Lecture Notes in Mathematics pp 85-115

Date:

Homology operations derived from modular coinvariants

  • Huynh MuiAffiliated withDepartment of Mathematics, University of Hanoi Dai Hoc Tong HopInstitute of Mathematics, University of Göttingen

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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.