Heriot-Watt Mathematics Report Series
HWM06-8, 29 Mar 2006
Orthogonal completions of the polycyclic monoids
M V Lawson
Abstract
We introduce the notion of an orthogonal completion of an inverse monoid with zero. We show that the orthogonal completion of the polycyclic monoid on n generators is isomorphic to the inverse monoid of right ideal isomorphisms between the finitely generated right ideals of the free monoid on n generators, and so we make a direct connection with the Thompson groups $V_{n,1}$
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