The following problem is considered: when can the action of a cancellative semigroup $S$ on a set be extended to a simply transitive action of the universal group of $S$ on a larger set.
@article{119397,
author = {Pierre Antoine Grillet},
title = {Cancellative actions},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {44},
year = {2003},
pages = {399-411},
zbl = {1101.20033},
mrnumber = {2025809},
language = {en},
url = {http://dml.mathdoc.fr/item/119397}
}
Grillet, Pierre Antoine. Cancellative actions. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 399-411. http://gdmltest.u-ga.fr/item/119397/
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