Geometric group theoryGeometric group theory
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What Wikipedia says
Geometric group theory is an area in mathematics devoted to the study of finitely generated groups by exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups can act non-trivially (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces).
Excerpt from the Wikipedia article “Geometric group theory”, under the CC BY-SA 4.0 license. Read the article on Wikipedia
Image: Auteur inconnu, Public domain, via Wikimedia Commons.
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