You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Local Indicability in Ordered Groups: Braids and Elementary Amenable Groups
Akbar Rhemtulla and Dale Rolfsen
Proceedings of the American Mathematical Society
Vol. 130, No. 9 (Sep., 2002), pp. 2569-2577
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2699673
Page Count: 9
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
Groups which are locally indicable are also right-orderable, but not conversely. This paper considers a characterization of local indicability in right-ordered groups, the key concept being a property of right-ordered groups due to Conrad. Our methods answer a question regarding the Artin braid groups Bn which are known to be right-orderable. The subgroups Pn of pure braids enjoy an ordering which is invariant under multiplication on both sides, and it has been asked whether such an ordering of Pn could extend to a right- invariant ordering of Bn. We answer this in the negative. We also give another proof of a recent result of Linnell that for elementary amenable groups, the concepts of right-orderability and local indicability coincide.
Proceedings of the American Mathematical Society © 2002 American Mathematical Society