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Copies of a one-ended group in a Mapping...

Dahmani, Francois...

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Copies of a one-ended group in a Mapping Class Group by Dahmani, Francois ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	06-09-2007
Summary	We establish that, given Σ a compact orientable surface, and G a finitely presented one-ended group, the set of copies of G in the mapping class group MCG(Σ) consisting of only pseudo-anosov elements except identity, is finite up to conjugacy. This relies on a result of Bowditch on the same problem for images of surfaces groups. He asked us whether we could reduce the case of one-ended groups to his result ; this is a positive answer. Our work involves analogues of Rips and Sela canonical cylinders in curve complexes, and the argument of Delzant to bound the number of images of a one-ended group in a hyperbolic group.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/0709.0797

Citation

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AMA 11th EditionReferences

Dahmani, Francois. Copies of a one-ended group in a Mapping Class Group. N.A. September 06, 2007. Accessed October 01, 2025. https://online.provdatabase.com/cite/15457

APA 7th EditionReferences

Dahmani, Francois. (2007). Copies of a one-ended group in a Mapping Class Group. N.A. https://online.provdatabase.com/cite/15457

Chicago 17th EditionReferences

Dahmani, Francois. Copies of a one-ended group in a Mapping Class Group. N.A. 2007. https://online.provdatabase.com/cite/15457

HarvardReferences

Dahmani, Francois. (2007). Copies of a one-ended group in a Mapping Class Group. [Online]. N.A. Available from: https://online.provdatabase.com/cite/15457. (Accessed 01 October 2025).

Harvard AustraliaReferences

Dahmani, Francois, 2007, Copies of a one-ended group in a Mapping Class Group, N.A, viewed 01 October 2025, <https://online.provdatabase.com/cite/15457>

MLA 9th EditionWorks Cited

Dahmani, Francois. Copies of a one-ended group in a Mapping Class Group. N.A, 2007. PROV Database, https://online.provdatabase.com/cite/15457.

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