Hostname: page-component-745bb68f8f-b6zl4 Total loading time: 0 Render date: 2025-01-07T21:09:56.954Z Has data issue: false hasContentIssue false
  • English
  • Français

LEFT ORDERED AMENABLE AND LOCALLY INDICABLE GROUPS

Published online by Cambridge University Press:  01 August 1999

PETER A. LINNELL
PETER A. LINNELL
Affiliation:
Department of Mathematics, Virginia Tech, 460 McBryde Hall, Blacksburg, VA 24061-0123, USA; [email protected]
Get access

Abstract

There has been interest recently concerning when a left ordered group is locally indicable. Chiswell and Kropholler proved that every left ordered solvable-by-finite group is locally indicable, while Bergman gave examples of left ordered groups which are not locally indicable. This paper proves that every left ordered elementary amenable group is locally indicable. Every solvable-by-finite group is elementary amenable, and every elementary amenable group is amenable. The author leaves it as an open problem as to whether every left ordered amenable group is locally indicable.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 1 , August 1999 , pp. 133 - 142
Copyright
The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)