N-FOLD ČECH DERIVED FUNCTORS AND GENERALISED HOPF TYPE FORMULAS
| Citations: | 2 - 0 self |
BibTeX
@MISC{Donadze_n-foldčech,
author = {Guram Donadze and Nick Inassaridze and Timothy Porter},
title = {N-FOLD ČECH DERIVED FUNCTORS AND GENERALISED HOPF TYPE FORMULAS},
year = {}
}
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Abstract
Abstract. In 1988, Brown and Ellis published [3] a generalised Hopf formula for the higher homology of a group. Although substantially correct, their result lacks one necessary condition. We give here a counterexample to the result without that condition. The main aim of this paper is, however, to generalise this corrected result to derive formulae of Hopf type for the n-fold Čech derived functors of the lower central series functors Zk. The paper ends with an application to algebraic K-theory. Introduction and Summary The well known Hopf formula for the second integral homology of a group says that for a given group G there is an isomorphism H2(G) ∼ = R ∩ [F, F]
