Work

Unipotent normal subgroups of algebraic groups

Year: 2025

Type: article

Abstract: Let G be an affine algebraic group scheme over a field k . We show there exists a unipotent normal subgroup of G which contains all other such subgroups; we call it the restricted unipotent radical Rad u ( G ) of G . We investigate some properties of Rad u ( G ) , and study those G for which Rad u ( G ) is trivial. In particular, we relate these notions to their well-known analogues for smooth connected affine k -groups.

Source: Journal of Algebra

DOI: 10.1016/j.jalgebra.2025.10.058

Author: Damian Sercombe

Institution: University of Freiburg

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,310

Funders: Alexander von Humboldt-Stiftung, Albert-Ludwigs-Universität Freiburg