Cohomological lower bounds for isoperimetric functions on groups

@inproceedings{Gersten1998CohomologicalLB,
  title={Cohomological lower bounds for isoperimetric functions on groups},
  author={S. M. Gersten},
  year={1998}
}
Abstract If the finitely presented group G splits over the finitely presented sub-group C , then classes are constructed in H 2 (∞) (G) which reflect the splitting and which serve as lower bounds for isoperimetric functions for G . It is proved that H 2 (∞) (G)=0 for all word hyperbolic groups G . A converse is obtained for the combination theorem for hyperbolic groups of Bestvina–Feighn. The Mayer–Vietoris exact sequence for l ∞ -cohomology associated to a splitting of a group is established… CONTINUE READING

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