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Regular completions of $\mathbb{Z}^n$-fr...

Kharlampovich, Olga...

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Regular completions of $\mathbb{Z}^n$-free groups by Kharlampovich, Olga ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	02-08-2023
Summary	In the present paper we continue studying regular free group actions on $\mathbb{Z}^n$-trees. We show that every finitely generated $\mathbb{Z}^n$-free group $G$ can be embedded into a finitely generated $\mathbb{Z}^n$-free group $H$ acting regularly on the underlying $\mathbb{Z}^n$-tree (we call $H$ a {\em regular $\mathbb{Z}^n$-completion} of $G$) so that the action of $G$ is preserved. Moreover, if $G$ is effectively represented as a group of $\mathbb{Z}^n$-words then the construction of $H$ is effective and $H$ is also effectively represented as a group of $\mathbb{Z}^n$-words.
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/1208.4640

Citation

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AMA 11th EditionReferences

Kharlampovich, Olga. Regular completions of $\mathbb{Z}^n$-free groups. Australian National University. August 02, 2023. Accessed August 09, 2025. https://online.provdatabase.com/cite/9681

APA 7th EditionReferences

Kharlampovich, Olga. (2023). Regular completions of $\mathbb{Z}^n$-free groups. Australian National University. https://online.provdatabase.com/cite/9681

Chicago 17th EditionReferences

Kharlampovich, Olga. Regular completions of $\mathbb{Z}^n$-free groups. Australian National University. 2023. https://online.provdatabase.com/cite/9681

HarvardReferences

Kharlampovich, Olga. (2023). Regular completions of $\mathbb{Z}^n$-free groups. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/9681. (Accessed 09 August 2025).

Harvard AustraliaReferences

Kharlampovich, Olga, 2023, Regular completions of $\mathbb{Z}^n$-free groups, Australian National University, viewed 09 August 2025, <https://online.provdatabase.com/cite/9681>

MLA 9th EditionWorks Cited

Kharlampovich, Olga. Regular completions of $\mathbb{Z}^n$-free groups. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/9681.

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