Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 48, No. 1, pp. 59-67 (2007)
Point-reflections in metric plane
Victor PambuccianDepartment of Integrative Studies, Arizona State University West, Phoenix, AZ 85069-7100, U.S.A. e-mail: email@example.com
Abstract: We axiomatize the class of groups generated by the point-reflections of a metric plane with a non-Euclidean metric, the structure of which turns out to be very rich compared to the Euclidean metric case, and state an open problem.
Classification (MSC2000): 51M05, 51M10, 51F15, 03B30
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Electronic version published on: 14 May 2007. This page was last modified: 27 Jan 2010.