1-homology of combable groups and 3-manifold groups

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Abstract

S. Gersten asked whether the reduced ℓ1-homology of a group of type ℱn vanishes in all dimensions up to n - 1. We prove this for combable groups and for the fundamental groups of closed 3-manifolds. This means that the ℓ1-homology in these cases can be interpreted as "an amount of non-linearity" for the isoperimetric functions.

Original languageEnglish (US)
Pages (from-to)341-355
Number of pages15
JournalInternational Journal of Algebra and Computation
Volume12
Issue number1-2
StatePublished - Aug 20 2002
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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