Geodesic
A GROUP-EMBEDDABLE NON-AUTOMATIC SEMIGROUP WHOSE UNIVERSAL GROUP IS AUTOMATIC
Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 337-342

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DOI

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.
DOI : 10.1017/S0017089506003107
Mots-clés : 20M05, 20M35 
CAIN, ALAN J. A GROUP-EMBEDDABLE NON-AUTOMATIC SEMIGROUP WHOSE UNIVERSAL GROUP IS AUTOMATIC. Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 337-342. doi: 10.1017/S0017089506003107
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     author = {CAIN, ALAN J.},
     title = {A {GROUP-EMBEDDABLE} {NON-AUTOMATIC} {SEMIGROUP} {WHOSE} {UNIVERSAL} {GROUP} {IS} {AUTOMATIC}},
     journal = {Glasgow mathematical journal},
     pages = {337--342},
     year = {2006},
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     doi = {10.1017/S0017089506003107},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003107/}
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