Foldings in relatively hyperbolic groups

Abstract

Carrier graphs of groups representing subgroups of a given relatively hyperbolic groups are introduced and a combination theorem for relatively quasi-convex subgroups is proven. Subsequently a theory of folds for such carrier graphs is introduced and finiteness results for subgroups of locally relatively quasiconvex relatively hyperbolic groups and Kleinian groups are established.

55 pages. arXiv admin note: text overlap with arXiv:2203.02357 by other authors Version 2: Improved exposition, results unchanged