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zbMATH Open
Article
Data sources: zbMATH Open
Bulletin of the London Mathematical Society
Article . 2005 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2003
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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A COMBINATION THEOREM FOR RELATIVELY HYPERBOLIC GROUPS

A combination theorem for relatively hyperbolic groups
Authors: Alibegović, Emina;

A COMBINATION THEOREM FOR RELATIVELY HYPERBOLIC GROUPS

Abstract

In this paper we give new requirements that a tree of $��$-hyperbolic spaces has to satisfy in order to be $��$-hyperbolic itself. As an application, we give a simple proof that limit groups are relatively hyperbolic.

Keywords

Topological methods in group theory, Science, Group Theory (math.GR), 20F65;57M07, Hyperbolic groups and nonpositively curved groups, hyperbolic groups, limit groups, FOS: Mathematics, 57M07, graph of groups, 20F65, Geometric group theory, Mathematics - Group Theory, Mathematics

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    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).
    39
    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.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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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!
39
Top 10%
Top 10%
Top 10%
Green
bronze