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Paper detail

Partial transformation monoids preserving a uniform partition

The objective of this paper is to study the monoid of all partial transformations of a finite set that preserve a uniform partition. In addition to proving that this monoid is a quotient of a wreath product with respect to a congruence relation, we show that it is generated by 5 generators, we compute its order and determine a presentation on a minimal generating set.

preprint2012arXivOpen access
Serena CicaloVitor H. FernandesCsaba Schneider
math.GR
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Serena CicaloVitor H. FernandesCsaba Schneider

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