Separable subgroups have bounded packing
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- by Wen-yuan Yang PDF
- Proc. Amer. Math. Soc. 139 (2011), 3217-3218 Request permission
Abstract:
In this paper, we prove that separable subgroups have bounded packing in ambient groups. The notion bounded packing was introduced by Hruska and Wise, and, in particular, our result confirms a conjecture of theirs which states that each subgroup of a virtually polycyclic group has the bounded packing property.References
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- G. Christopher Hruska and Daniel T. Wise, Packing subgroups in relatively hyperbolic groups, Geom. Topol. 13 (2009), no. 4, 1945–1988. MR 2497315, DOI 10.2140/gt.2009.13.1945
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Additional Information
- Wen-yuan Yang
- Affiliation: College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, People’s Republic of China
- Address at time of publication: U.F.R. de Mathematiques, Universite de Lille 1, 59655 Villeneuve D’Ascq Cedex, France
- Email: wyang@math.univ-lille1.fr
- Received by editor(s): August 24, 2010
- Published electronically: March 2, 2011
- Additional Notes: The author is supported by the China-funded Postgraduates Studying Abroad Program for Building Top University. This research was supported by the National Natural Science Foundation of China (No. 11081059).
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3217-3218
- MSC (2010): Primary 20F65, 20F67
- DOI: https://doi.org/10.1090/S0002-9939-2011-10788-3
- MathSciNet review: 2811277