Derived cup product and (strictly) derived groups
Bull. Korean Math. Soc. 1998 Vol. 35, No. 4, 791-805
Dae-Woong Lee
Chonbuk National University
Abstract : The purpose of this paper is to construct a ring with unity under the derived cup product on the cochain groups of the inverse system and an isomorphism which is useful as the computation of a derived group by deleting the suitable terms in the directed set $D$. Moreover we apply these results to the $K$-theory.
Keywords : direct (inverse) system, derived cup product, (strictly) derived group, $K$-group
MSC numbers : 55N20, 19D55, 16S10
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