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Tokyo Journal of Mathematics
Article
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arXiv.org e-Print Archive
Preprint . 2013
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Other literature type . 2019
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Tokyo Journal of Mathematics
Article . 2019 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2013
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On Relative Hyperbolicity for a Group and Relative Quasiconvexity for a Subgroup

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jun 2019Embargo end date: 01 Jan 2013Publisher:Tokyo Journal of MathematicsJournal:Tokyo Journal of Mathematics, volume 42 (issn: 0387-3870, Copyright policy )
Authors: MATSUDA, Yoshifumi; OGUNI, Shin-ichi; YAMAGATA, Saeko;

doi: 10.3836/tjm/1502179263 , 10.48550/arxiv.1301.4029

arXiv: http://arxiv.org/abs/1301.4029

On Relative Hyperbolicity for a Group and Relative Quasiconvexity for a Subgroup

Abstract

We consider two families of subgroups of a group. Each subgroup which belongs to one family is contained in some subgroup which belongs to the other family. We then discuss relations of relative hyperbolicity for the group with respect to the two families, respectively. If the group is supposed to be hyperbolic relative to the two families, respectively, then we consider relations of relative quasiconvexity for a subgroup of the group with respect to the two families, respectively.

26 pages, 9 figures

Related Organizations
Keywords

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

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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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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