Foldings in relatively hyperbolic groups

Name: Foldings in relatively hyperbolic groups
Keywords: 20E06, 20E07, 20F65, 20F67, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2024Publisher:arXiv

Authors: Weidmann, Richard; Weller, Thomas;

doi: 10.48550/arxiv.2403.17686

arXiv: http://arxiv.org/abs/2403.17686

Foldings in relatively hyperbolic groups

- Summary
- Subjects
- Metrics

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

Keywords

20E06, 20E07, 20F65, 20F67, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green