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From Practice to New Concepts: Geometric Properties of Groups

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:
CreatorsEmailORCID
Starikova, Irinastarikova.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: http://philsci-archive.pitt.edu/id/eprint/12830

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