|
Recent Volumes |
|
Volume 1, 1998 |
|
Volume 2, 1999 |
|
Volume 3, 2000 |
|
Volume 4, 2002 |
|
Volume 5, 2002 |
|
Volume 6, 2003 |
|
Volume 7, 2004 |
|
Volume 8, 2006 |
|
Volume 9, 2006 |
|
Volume 10, 2007 |
|
Volume 11, 2007 |
|
Volume 12, 2007 |
|
Volume 13, 2008 |
|
Volume 14, 2008 |
|
Volume 15, 2008 |
|
Volume 16, 2009 |
|
Volume 17, 2011 |
|
Volume 18, 2012 |
|
|
|
Automatic groups, subgroups and cosets
Derek F Holt
|
|
Geometry & Topology Monographs 1
(1998) 249–260
|
Abstract
|
|
The history, definition and principal properties of automatic groups and their
generalisations to subgroups and cosets are reviewed briefly, mainly from a
computational perspective. A result about the asynchronous automaticity of an HNN
extension is then proved and applied to an example that was proposed by Mark
Sapir.
|
Keywords
automatic groups, HNN extensions
|
Mathematical Subject Classification
Primary: 20F32
Secondary: 20F05
|
Publication
Received: 26 August 1997
Published: 26 October 1998
|
|
