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Hierarchy for groups acting on hyperboli...

Grecianu, Andrei-Pau...

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Hierarchy for groups acting on hyperbolic $\mathbf{Z}^n$-spaces by Grecianu, Andrei-Paul ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	09-08-2023
Summary	In their first article, the authors initiated a systematic study of hyperbolic $\Lambda$-metric spaces, where $\Lambda$ is an ordered abelian group, and groups acting on such spaces. The present paper concentrates on the case $\Lambda = \mathbf{Z}^n$ taken with the right lexicographic order and studies the structure of finitely generated groups acting on hyperbolic $\mathbf{Z}^n$-metric spaces. Under certain constraints, the structure of such groups is described in terms of a {\em hierarchy} similar to the one established for $\mathbf{Z}^n$-free groups by Kharlampovich, Myasnikov, Remeslennikov and Serbin.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1611.00314

Citation

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AMA 11th EditionReferences

Grecianu, Andrei-Paul. Hierarchy for groups acting on hyperbolic $\mathbf{Z}^n$-spaces. Australian National University. August 09, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/14202

APA 7th EditionReferences

Grecianu, Andrei-Paul. (2023). Hierarchy for groups acting on hyperbolic $\mathbf{Z}^n$-spaces. Australian National University. https://online.provdatabase.com/cite/14202

Chicago 17th EditionReferences

Grecianu, Andrei-Paul. Hierarchy for groups acting on hyperbolic $\mathbf{Z}^n$-spaces. Australian National University. 2023. https://online.provdatabase.com/cite/14202

HarvardReferences

Grecianu, Andrei-Paul. (2023). Hierarchy for groups acting on hyperbolic $\mathbf{Z}^n$-spaces. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/14202. (Accessed 02 October 2025).

Harvard AustraliaReferences

Grecianu, Andrei-Paul, 2023, Hierarchy for groups acting on hyperbolic $\mathbf{Z}^n$-spaces, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/14202>

MLA 9th EditionWorks Cited

Grecianu, Andrei-Paul. Hierarchy for groups acting on hyperbolic $\mathbf{Z}^n$-spaces. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/14202.

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