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Geometric Group Theory pp 51–64Cite as

Classifying Spaces for Wallpaper Groups

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Part of the book series: Trends in Mathematics ((TM))

Abstract

In this paper we use the homotopy structure of the classifying space for proper bundles of symmetries group of the plane to describe the Bℤ/p-nullification, in the sense of Dror-Farjoun, of the classifying spaces of these groups.

This article originates from the Barcelona conference.

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Author information

Authors and Affiliations

  1. Departamento de Estadística, Universidad Carlos III, E-28270, Colmenarejo, Madrid, Spain

    Ramón J. Flores

Authors
  1. Ramón J. Flores
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Editor information

Editors and Affiliations

  1. Section de mathématiques, Université de Genève, 2-4, rue du Lièvre, Case postale 64, 1211, Genève 4, Switzerland

    Goulnara N. Arzhantseva

  2. Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya Escola Politècnica Superior de Castelldefels Avda, Del Canal Olímpic s/n, 08860, Castelldefels (Barcelona), Spain

    José Burillo

  3. Institut de Mathématiques B (IMB), École Polytechnique Fédérale de Lausanne (EPFL), 1015, Lausanne, Switzerland

    Laurent Bartholdi

  4. Department of Applied Mathematics III Escola Politècnica Superior d’Enginyeria de Manresa, Universitat Politècnica de Catalunya, Av.Bases de Manresa 61-73, 08242, Manresa / Barcelona, Spain

    Enric Ventura

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© 2007 Birkhäuser Verlag Basel/Switzerland

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Flores, R.J. (2007). Classifying Spaces for Wallpaper Groups. In: Arzhantseva, G.N., Burillo, J., Bartholdi, L., Ventura, E. (eds) Geometric Group Theory. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8412-8_5

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