ERIC Number: EJ925650
Record Type: Journal
Publication Date: 2011
Abstractor: As Provided
Generating Groups of Isometries of the Line Using Non-Standard Metrics
Lynch, Mark A. M.
International Journal of Mathematical Education in Science and Technology, v42 n4 p540-544 2011
In this article, a simple exercise for finding groups isomorphic to the symmetry group of the real line is presented. A mechanism for producing metrics on the real line is used to construct the group elements, and these transformations, by construction, are isometries with respect to the generating metric.
Descriptors: Geometry, Numbers, Mathematical Formulas, Mathematics, Mathematical Logic, Validity, Mathematical Concepts
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Authoring Institution: N/A