Geodesic
A subgroup theorem for homological filling functions
Richard Gaelan Hanlon1 ; Eduardo Martínez-Pedroza1
1Memorial University of Newfoundland, St. John's, Canada
Groups, geometry, and dynamics, Tome 10 (2016) no. 3, pp. 867-883

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DOI

We use algebraic techniques to study homological filling functions of groups and their subgroups. If G is a group admitting a finite (n+1)-dimensional K(G,1) and H≤G is of type Fn+1​, then the nth homological filling function of H is bounded above by that of G. This contrasts with known examples where such inequality does not hold under weaker conditions on the ambient group G or the subgroup H. We include applications to hyperbolic groups and homotopical filling functions.
DOI : 10.4171/ggd/369
Classification : 20-XX, 57-XX
Mots-clés : Filling functions, isoperimetric functions, Dehn functions, hyperbolic groups, finiteness properties

Richard Gaelan Hanlon  1   ; Eduardo Martínez-Pedroza  1

1 Memorial University of Newfoundland, St. John's, Canada 
Richard Gaelan Hanlon; Eduardo Martínez-Pedroza. A subgroup theorem for homological filling functions. Groups, geometry, and dynamics, Tome 10 (2016) no. 3, pp. 867-883. doi: 10.4171/ggd/369
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     title = {A subgroup theorem for homological filling functions},
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     pages = {867--883},
     year = {2016},
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     doi = {10.4171/ggd/369},
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