Automatic groups, subgroups and cosets

Details Automatic groups, subgroups and cosets Automatic groups, subgroups and cosets

1998-10-26

arxiv.org/abs/math/9810190v1

Geom. Topol. Monogr. 1 (1998), 249-260

Mathematics

Group Theory

12 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper11.abs.html

Scientific paper

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.

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