Abstract
The semigroup of partial symmetries of a polygon is the collection of all distance-preserving bijections between subpolygons of , with composition as the operation. Around every idempotent of the semigroup there is a maximal subgroup that is the group of symmetries of a subpolygon of . In this paper we construct all of the maximal subgroups that can occur for any regular polygon , and determine for which there exist nontrivial cyclic maximal subgroups, and for which there are only dihedral maximal subgroups.
Citation
Thomas Shelly. Janet Mills. "Maximal subgroups of the semigroup of partial symmetries of a regular polygon." Involve 1 (1) 33 - 45, 2008. https://doi.org/10.2140/involve.2008.1.33
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