Quasi-isometry invariance of relative filling functions

For a finitely generated group G and collection of subgroups P , we prove that the relative Dehn function of a pair .G; P / is invariant under quasi-isometry of pairs. Along the way, we show quasi-isometries of pairs preserve almost malnormality of the collection and fineness of the associated coned...

Full description

Bibliographic Details
Main Authors: Hughes, S, Martínez-Pedroza, E, Sánchez Saldaña, LJ
Format: Journal article
Language:English
Published: European Mathematical Society Press 2023