From Practice to New Concepts: Geometric Properties of Groups

Citation data:

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

Publication Year:
2012
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Repository URL:
http://philsci-archive.pitt.edu/id/eprint/12830
DOI:
10.4000/philosophiascientiae.723
Author(s):
Valeria Giardino, Amirouche Moktefi, Sandra Mols, Jean-Paul Van Bendegem, Irina Starikova
Publisher(s):
OpenEdition, Université Nancy 2
Tags:
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.

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