Klein–Maskit combination theorem for Anosov subgroups: Amalgams

Abstract The classical Klein–Maskit combination theorems provide sufficient conditions to construct new Kleinian groups using old ones. There are two distinct but closely related combination theorems: the first deals with amalgamated free products, whereas the second deals with HNN extensions. This article gives analogs of both combination theorems for Anosov subgroups.

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Publication Details

Journal
Journal für die reine und angewandte Mathematik (Crelles Journal)
Published
2024-10-28
DOI
https://doi.org/10.1515/crelle-2024-0080
Citations
7
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
6.07
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article

Klein–Maskit combination theorem for Anosov subgroups: Amalgams

Subhadip Dey, Michael Kapovich
7 citations
Journal für die reine und angewandte Mathematik (Crelles Journal)
Geometric and Algebraic Topology
6.07
article

Klein–Maskit combination theorem for Anosov subgroups: Amalgams

Subhadip Dey, Michael Kapovich
article en
7 citations

Abstract

Abstract The classical Klein–Maskit combination theorems provide sufficient conditions to construct new Kleinian groups using old ones. There are two distinct but closely related combination theorems: the first deals with amalgamated free products, whereas the second deals with HNN extensions. This article gives analogs of both combination theorems for Anosov subgroups.

Journal für die reine und angewandte Mathematik (Crelles Journal)Vol. 2025(819)
Max Planck Institute for Mathematics in the Sciences (DE), University of California, Davis (US)
Openalex Percentile: Top 3%
Geometric and Algebraic Topology
6.07
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