Volume 1 (1998)

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ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
Automatic groups, subgroups and cosets

Derek F Holt

Geometry & Topology Monographs 1 (1998) 249–260
DOI: 10.2140/gtm.1998.1.249

arXiv: math.GR/9810190

Abstract
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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
References
Publication
Received: 26 August 1997
Published: 26 October 1998
Authors
Derek F Holt
Mathematics Institute
University of Warwick
Coventry
CV4 7AL
United Kingdom