Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-05T12:42:36.726Z Has data issue: false hasContentIssue false

A GROUP-EMBEDDABLE NON-AUTOMATIC SEMIGROUP WHOSE UNIVERSAL GROUP IS AUTOMATIC

Published online by Cambridge University Press:  23 August 2006

ALAN J. CAIN
Affiliation:
School of Mathematics and Statistics, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS, United Kingdom e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Answering a question of Hoffmann and of Kambites, an example is exhibited of a finitely generated semigroup $S$ such that $S$ embeds in a group and $S$ is not automatic, but the universal group of $S$ is automatic.

Keywords

Type
Research Article
Copyright
2006 Glasgow Mathematical Journal Trust