将部分 HNN 扩展嵌入升序 HNN 扩展中

arXiv - MATH - Group Theory Pub Date : 2024-08-01 DOI:arxiv-2408.00453

Hip Kuen Chong, Daniel T. Wise

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引用次数: 0

摘要

我们证明，自由群的任何部分升序 HNN 扩展都嵌入自由群的实际升序 HNN 扩展中。此外，我们还能确保项嵌入为一个相对双曲群的抛物子群。

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Embedding Partial HNN Extensions In Ascending HNN Extensions

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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arXiv - MATH - Group Theory

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