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Cannon-Thurston maps, subgroup distortio...

Baker, Owen...

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Cannon-Thurston maps, subgroup distortion, and hyperbolic hydra by Baker, Owen ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	21-08-2023
Summary	There is a family of hyperbolic groups known as hyperbolic hydra which contain heavily distorted free subgroups. We prove the existence of Cannon--Thurston maps (that is, maps of the boundaries induced by subgroup inclusion) for these free subgroups. It is known that Cannon--Thurston maps between hyperbolic space boundaries can exist even in the presence of arbitrarily heavy (even non-recursive) distortion. The hyperbolic hydra examples show that Cannon--Thurston maps can exist even between hyperbolic group boundaries in the presence of arbitrarily heavy primitive recursive distortion.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1209.0815

Citation

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AMA 11th EditionReferences

Baker, Owen. Cannon-Thurston maps, subgroup distortion, and hyperbolic hydra. Australian National University. August 21, 2023. Accessed August 02, 2025. https://online.provdatabase.com/cite/20220

APA 7th EditionReferences

Baker, Owen. (2023). Cannon-Thurston maps, subgroup distortion, and hyperbolic hydra. Australian National University. https://online.provdatabase.com/cite/20220

Chicago 17th EditionReferences

Baker, Owen. Cannon-Thurston maps, subgroup distortion, and hyperbolic hydra. Australian National University. 2023. https://online.provdatabase.com/cite/20220

HarvardReferences

Baker, Owen. (2023). Cannon-Thurston maps, subgroup distortion, and hyperbolic hydra. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/20220. (Accessed 02 August 2025).

Harvard AustraliaReferences

Baker, Owen, 2023, Cannon-Thurston maps, subgroup distortion, and hyperbolic hydra, Australian National University, viewed 02 August 2025, <https://online.provdatabase.com/cite/20220>

MLA 9th EditionWorks Cited

Baker, Owen. Cannon-Thurston maps, subgroup distortion, and hyperbolic hydra. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/20220.

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