On convex hulls and the quasiconvex subgroups of Fm×ℤn
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Jordan Sahattchieve
Abstract
In this paper, we explore a method for forming the convex hull of a subset in a uniquely geodesic metric space due to Brunn and use it to show that with respect to the usual action of Fm×ℤn on
The author would like to thank the anonymous referee for the many comments which have helped to greatly improve the exposition and the organization of this paper. The author would also like to thank Enric Ventura for the helpful discussions during the author's short visit to the Universitat Autònoma de Barcelona in the late Summer of 2012. Finally, the author wishes to thank his doctoral adviser Peter Scott for the introduction to the world of combinatorial group theory and low dimensional topology.
© 2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Group extensions with special properties
- Symmetries of finite graphs and homology
- A fast search algorithm for 〈m,m,m〉 Triple Product Property triples and an application for 5×5 matrix multiplication
- Key-escrow free multi-signature scheme using bilinear pairings
- An application of elementary real analysis to a metabelian group admitting integral polynomial exponents
- On convex hulls and the quasiconvex subgroups of Fm×ℤn
- A linear decomposition attack
Articles in the same Issue
- Frontmatter
- Group extensions with special properties
- Symmetries of finite graphs and homology
- A fast search algorithm for 〈m,m,m〉 Triple Product Property triples and an application for 5×5 matrix multiplication
- Key-escrow free multi-signature scheme using bilinear pairings
- An application of elementary real analysis to a metabelian group admitting integral polynomial exponents
- On convex hulls and the quasiconvex subgroups of Fm×ℤn
- A linear decomposition attack
