Starikova, Irina (2012) From Practice to New Concepts: Geometric Properties of Groups. [Preprint]

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Abstract

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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Item Type:	Preprint
Creators:	Creators Email ORCID Starikova, Irina starikova.irina@gmail.com
Keywords:	mathematical practice, visual representations, Cayley graphs, Gromov
Subjects:	General Issues > Explanation General Issues > History of Philosophy of Science General Issues > Philosophers of Science General Issues > Values In Science
Depositing User:	Dr. Irina Starikova
Date Deposited:	19 Feb 2017 22:37
Last Modified:	19 Feb 2017 22:37
Item ID:	12830
Official URL:	https://philosophiascientiae.revues.org/723
DOI or Unique Handle:	10.4000/philosophiascientiae.723
Subjects:	General Issues > Explanation General Issues > History of Philosophy of Science General Issues > Philosophers of Science General Issues > Values In Science
Date:	16 January 2012
URI:	https://philsci-archive.pitt.edu/id/eprint/12830

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