2023
DOI: 10.1017/s1474748023000439
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On Groups of Units of Special and One-Relator Inverse Monoids

Robert D. Gray,
Nik Ruškuc

Abstract: We investigate the groups of units of one-relator and special inverse monoids. These are inverse monoids which are defined by presentations, where all the defining relations are of the form $r=1$ . We develop new approaches for finding presentations for the group of units of a special inverse monoid, and apply these methods to give conditions under which the group admits a presentation with the same number of defining relations as the monoid. In particular, our results give suffici… Show more

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