Bounded cohomology characterizes hyperbolic groups

Research output: Contribution to journalArticlepeer-review


A finitely presentable group G is hyperbolic if and only if the map H b2(G, V) → H2(G, V) is surjective for any bounded G-module. The 'only if' direction is known and here we prove the 'if' direction. We also consider several ways to define a linear homological isoperimetric inequality.

Original languageEnglish (US)
Pages (from-to)59-73
Number of pages15
JournalQuarterly Journal of Mathematics
Issue number1
StatePublished - Mar 2002
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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