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Factorizable semigroup of partial symmetries of a regular polygon. (English) Zbl 0815.20064

The author proves that the semigroup of partial symmetries of a regular polygon is factorizable and is of rank 3. The author also obtains a construction of \(S(P)\), the set of all isometries between subpolygons of a convex polygon \(P\) having an odd number of vertices.

MSC:

20M20 Semigroups of transformations, relations, partitions, etc.
52B15 Symmetry properties of polytopes
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References:

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