Bredon homology of wallpaper groups

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.

Detalles Bibliográficos
Autor: Flores Díaz, Ramón Jesús
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:dnet:idus________::550ffb0bf9c20ef5ad74709125ceb4a8
Acceso en línea:https://hdl.handle.net/11441/183780
https://doi.org/10.4134/BKMS.b220669
Access Level:acceso abierto
Palabra clave:Wallpaper group
Bredon homology
character
representation
G-CW-complex
Descripción
Sumario: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.