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Automatic groups, subgroups and cosets

Derek F. Holt
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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.

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Derek F. Holt. 1998-10-26. Automatic groups, subgroups and cosets. https://arxiv.org/abs/math/9810190

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