Bredon homology of wallpaper groups
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 representation rings of the stabilizers.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2021
- arXiv:
- arXiv:2111.14245
- Bibcode:
- 2021arXiv211114245F
- Keywords:
-
- Mathematics - K-Theory and Homology;
- Mathematics - Algebraic Topology;
- Mathematics - Group Theory;
- 20F65;
- 20C15;
- 55N91
- E-Print:
- 33 pages, 1 figure