The Polycyclic Monoids P n and the Thompson Groups V n,1 |
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| Authors: | Mark V. Lawson |
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| Affiliation: | 1. Department of Mathematics and the Maxwell Institute for Mathematical Sciences , Heriot-Watt University, Riccarton , Edinburgh, Scotland, UK M.V.Lawson@ma.hw.ac.uk |
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| Abstract: | We construct what we call the strong orthogonal completion C n of the polycyclic monoid P n on n generators. The inverse monoid C n is congruence free and its group of units is the Thompson group V n,1. Copies of C n can be constructed from partitions of sets into n blocks each block having the same cardinality as the underlying set. |
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| Keywords: | Polycyclic inverse monoids Prefix codes Thompson groups |
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