Bulletin of the Korean Mathematical Society (대한수학회보)

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BREDON HOMOLOGY OF WALLPAPER GROUPS

  • Ramon Flores (Departamento de Geometria y Topologia Universidad de Sevilla)
  • Received : 2022.09.26
  • Accepted : 2023.01.27
  • Published : 2023.11.30
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Abstract

In this paper we compute the Bredon homology of wallpaper groups with respect to the family of finite groups and with coefficients in the complex representation ring. We provide explicit bases of the homology groups in terms of irreducible characters of the stabilizers.

Keywords

Acknowledgement

The author was supported by grant PID2020-117971GB-C21 of the Spanish Ministery of Science and Innovation, and grant FQM-213 of the Junta de Andalucia.

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