The inverse semigroup of partial symmetries of a convex polygon

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“…The set of all subpolygons of P will be denoted by . Now we must describe the semigroup of partial symmetries of a convex polygon P. This class of semigroups was first defined in [Mills 1990b], and some of its properties explored in [Mills 1990a;. The domain and range of a function α will be denoted by dom α and ran α respectively.…”

Maximal subgroups of the semigroup of partial symmetries of a regular polygon

“…The set of all subpolygons of P will be denoted by . Now we must describe the semigroup of partial symmetries of a convex polygon P. This class of semigroups was first defined in [Mills 1990b], and some of its properties explored in [Mills 1990a;1993]. The domain and range of a function α will be denoted by dom α and ran α respectively.…”