ePrints

On the exponent of geometric unipotent radicals of pseudo-reductive groups

Lookup NU author(s): Dr David StewartORCiD

Downloads

• Published version [.pdf]

Licence

This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

Let $k'/k$ be a finite purely inseparable field extension and let $G'$ be a reductive $k'$-group. We denote by $G=\R_{k'/k}(G')$ the Weil restriction of $G'$ across $k'/k$, a pseudo-reductive group. This article gives bounds for the exponent of the geometric unipotent radical $\RR_{u}(G_{\bar{k}})$ in terms of invariants of the extension $k'/k$, starting with the case $G'=\GL_n$ and applying these results to the case where $G'$ is a simple group.

Publication metadata

Author(s): Bannuscher F, Gruchot M, Stewart DI

Publication type: Article

Publication status: Published

Journal: Archiv der Mathematik

Year: 2022

Volume: 118

Pages: 451-464

Print publication date: 01/05/2022

Online publication date: 25/04/2022

Acceptance date: 22/02/2022

Date deposited: 24/02/2022

ISSN (print): 0003-889X

ISSN (electronic): 1420-8938

Publisher: Birkhaeuser Science

URL: https://doi.org/10.1007/s00013-022-01731-3

DOI: 10.1007/s00013-022-01731-3

Altmetrics

Funding

Share