We use algebraic techniques to study homological filling functions of groups and their subgroups. If is a group admitting a finite -dimensional and is of type , then the th homological filling function of is bounded above by that of . This contrasts with known examples where such inequality does not hold under weaker conditions on the ambient group or the subgroup . We include applications to hyperbolic groups and homotopical filling functions.
Cite this article
Richard Gaelan Hanlon, Eduardo Martínez-Pedroza, A subgroup theorem for homological filling functions. Groups Geom. Dyn. 10 (2016), no. 3, pp. 867–883DOI 10.4171/GGD/369