Embedding Partial HNN Extensions In Ascending HNN Extensions

Hip Kuen Chong; Daniel T. Wise

doi:10.48550/arXiv.2408.00453

Embedding Partial HNN Extensions In Ascending HNN Extensions

Hip Kuen Chong, Daniel T. Wise

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article

Abstract

We show that any partial ascending HNN extension of a free group embeds in an actual ascending HNN extension of a free group. Moreover, we can ensure that it embeds as the parabolic subgroup of a relatively hyperbolic group.

Original language	English
Number of pages	16
Journal	arxiv.org
DOIs	https://doi.org/10.48550/arXiv.2408.00453
State	In preparation - 1 Aug 2024

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10.48550/arXiv.2408.00453License: CC BY-NC-ND

Cite this

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abstract = "We show that any partial ascending HNN extension of a free group embeds in an actual ascending HNN extension of a free group. Moreover, we can ensure that it embeds as the parabolic subgroup of a relatively hyperbolic group.",

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AU - Wise, Daniel T.

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N2 - We show that any partial ascending HNN extension of a free group embeds in an actual ascending HNN extension of a free group. Moreover, we can ensure that it embeds as the parabolic subgroup of a relatively hyperbolic group.

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DO - 10.48550/arXiv.2408.00453

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