134 research outputs found
Classifying Finite Dimensional Cubulations of Tubular Groups
A tubular group is a group that acts on a tree with vertex
stabilizers and edge stabilizers. This paper develops further a
criterion of Wise and determines when a tubular group acts freely on a finite
dimensional CAT(0) cube complex. As a consequence we offer a unified
explanation of the failure of separability by revisiting the non-separable
3-manifold group of Burns, Karrass and Solitar and relating it to the work of
Rubinstein and Wang. We also prove that if an immersed wall yields an infinite
dimensional cubulation then the corresponding subgroup is quadratically
distorted.Comment: 24 pages, 11 figures. Minor corrections and clarifications. Some
figures are redrawn. The proof of Theorem 6.1 is rewritten for clarity and to
correct error
A Cubical Flat Torus Theorem and the Bounded Packing Property
We prove the bounded packing property for any abelian subgroup of a group
acting properly and cocompactly on a CAT(0) cube complex. A main ingredient of
the proof is a cubical flat torus theorem. This ingredient is also used to show
that central HNN extensions of maximal free-abelian subgroups of compact
special groups are virtually special, and to produce various examples of groups
that are not cocompactly cubulated.Comment: 14 pages, 2 figures, submitted May 2015 Minor corrections and swapped
sections 2 and 3 Corrected an unfortunate typo in Theorem 2.1 - the
hypothesis that the cube complex be finite dimensional has now been adde
Hyperbolic groups that are not commensurably coHopfian
Sela proved every torsion-free one-ended hyperbolic group is coHopfian. We
prove that there exist torsion-free one-ended hyperbolic groups that are not
commensurably coHopfian. In particular, we show that the fundamental group of
every simple surface amalgam is not commensurably coHopfian.Comment: v3: 14 pages, 4 figures; minor changes. To appear in International
Mathematics Research Notice
The application of deep eutectic solvent ionic liquids for environmentally-friendly dissolution and recovery of precious metals
publisher: Elsevier articletitle: The application of deep eutectic solvent ionic liquids for environmentally-friendly dissolution and recovery of precious metals journaltitle: Minerals Engineering articlelink: http://dx.doi.org/10.1016/j.mineng.2015.09.026 content_type: article copyright: Copyright © 2015 The Authors. Published by Elsevier Ltd.© 2015 Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)
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