Finite geometries associated with dihedral groups of regular polygons.

dc.contributor.author	Sullivan, Margaret W.
dc.date.accessioned	2012-12-11T14:37:01Z
dc.date.available	2012-12-11T14:37:01Z
dc.date.created	1980	en_US
dc.date.issued	2012-12-11
dc.identifier.uri	http://hdl.handle.net/123456789/2258
dc.description	42 leaves	en_US
dc.description.abstract	The phrase "finite geometry associated with the dihedral group of a regular polygon" is introduced and defined. Two such geometries are developed in detail: the finite geometries associated with the dihedral groups of the square and the regular hexagon. Models are developed for each of these geometries. A method for developing such a geometry associated with the dihedral group of any even-sided polygon is outlined, as well as a way to develop a model for the geometry. The significance of two subgroups of the dihedral group in the development of both the geometry and the model is emphasized. As stated before, the generalized methods are only applicable to finite geometries associated with dihedral groups of order 4n.	en_US
dc.language.iso	en_US	en_US
dc.subject	Geometry, Affine.	en_US
dc.title	Finite geometries associated with dihedral groups of regular polygons.	en_US
dc.type	Thesis	en_US
dc.college	slim	en_US
dc.department	mathematics, computer science, and economics	en_US