Access the full text.
Sign up today, get DeepDyve free for 14 days.
Jordi Delgado, E. Ventura (2013)
Algorithmic problems for free-abelian times free groupsJournal of Algebra, 391
Kai-Uwe Bux, Stefan Witzel (2012)
Local convexity in CAT(κ)-spaces
(1904)
Über das durch eine beliebige endliche Figur bestimmte Eigebilde
G. Hruska (2004)
Geometric invariants of spaces with isolated flatsTopology, 44
Jordan Sahattchieve (2012)
Solutions to Two Open Problems in Geometric Group Theory
M. Bridson, A. Haefliger (1999)
Metric Spaces of Non-Positive Curvature
Sa’ar Hersonsky, J. Hubbard (1997)
Groups of automorphisms of trees and their limit setsErgodic Theory and Dynamical Systems, 17
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 F m ×ℤ n on Tree × ℝ n ${\mathrm {Tree}\times \mathbb {R}^n}$ , every quasiconvex subgroup of F m ×ℤ n is convex. Further, we show that the Cartan–Hadamard theorem can be used to show that locally convex subsets of complete and connected CAT(0) spaces are convex. Finally, we show that the quasiconvex subgroups of F m ×ℤ n are precisely those of the form A × B , where A ≤ F m ${A\le F_m}$ is finitely generated, and B ≤ ℤ n ${B\le \mathbb {Z}^n}$ .
Groups Complexity Cryptology – de Gruyter
Published: May 1, 2015
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.