Book contents
- Frontmatter
- Dedication
- Contents
- Illustrations
- Tables
- Introduction
- Part One Background and Review
- Part Two Bruhat–Tits Theory
- Part Three Additional Developments
- 10 Residue Field of Dimension 1
- 11 Component Groups of Integral Models
- 12 Finite Group Actions and Tamely Ramified Descent
- 13 Moy–Prasad Filtrations
- 14 Functorial Properties
- 15 The Buildings of Classical Groups via Lattice Chains
- Part Four Applications
- Part Five Appendices
- References
- Index of Symbols
- General Index
12 - Finite Group Actions and Tamely Ramified Descent
from Part Three - Additional Developments
Published online by Cambridge University Press: 16 May 2023
Book contents
- Frontmatter
- Dedication
- Contents
- Illustrations
- Tables
- Introduction
- Part One Background and Review
- Part Two Bruhat–Tits Theory
- Part Three Additional Developments
- 10 Residue Field of Dimension 1
- 11 Component Groups of Integral Models
- 12 Finite Group Actions and Tamely Ramified Descent
- 13 Moy–Prasad Filtrations
- 14 Functorial Properties
- 15 The Buildings of Classical Groups via Lattice Chains
- Part Four Applications
- Part Five Appendices
- References
- Index of Symbols
- General Index
Summary
Introduces the \emph{Kottwitz homomorphism} and uses it to describe the component group of the special fiber of a given parahoric integral model. In particular, we describe the component group of the special fiber of the ft-N\'eron and lft-N\'eron models of a $k$-torus.
- Type
- Chapter
- Information
- Bruhat–Tits TheoryA New Approach, pp. 436 - 465Publisher: Cambridge University PressPrint publication year: 2023