From Practice to New Concepts: Geometric Properties of Groups

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Philosophia Scientae, ISSN: 1281-2463, Vol: 16, Issue: 16-1, Page: 129-151

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Valeria Giardino; Amirouche Moktefi; Sandra Mols; Jean-Paul Van Bendegem; Irina Starikova
OpenEdition; Université Nancy 2
Arts and Humanities
article description
The paper aims to show how mathematical practice, in particular with visual representations, can lead to new mathematical results. The argument is based on a case study from a relatively recent and promising mathematical subject-geometric group theory. The paper discusses how the representation of groups by Cayley graphs made possible to discover new geometric properties of groups.