Generating groups of isometries of the line using non-standard metrics

• Autores: Mark R. Lynch
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 42, Nº. 4, 2011, págs. 540-544
• Idioma: inglés
• DOI: 10.1080/0020739x.2010.543167
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• Resumen

  • 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.