Embedding Partial HNN Extensions In Ascending HNN Extensions

Fuente: arXiv
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Main Authors: Chong, Hip Kuen, Wise, Daniel T.
Format: Preprint
Published: 2024
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author Chong, Hip Kuen
Wise, Daniel T.
author_facet Chong, Hip Kuen
Wise, Daniel T.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_00453
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Embedding Partial HNN Extensions In Ascending HNN Extensions
Chong, Hip Kuen
Wise, Daniel T.
Group Theory
20E06, 20F67, 20F06
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.
title Embedding Partial HNN Extensions In Ascending HNN Extensions
topic Group Theory
20E06, 20F67, 20F06
url https://arxiv.org/abs/2408.00453