Invariants of the finite orthogonal groups in odd dimension and even characteristic
Abstract
Abstract We describe the ring of invariants for the finite orthogonal groups in odd dimension and even characteristic acting on the defining representation. We construct a minimal algebra generating set and describe the relations amongst the generators. This ring of invariants is shown to be a complete intersection and thus is Cohen–Macaulay. This extends the previous computation of Kropholler, Mohseni Rajaei, and Segal valid over the field of order 2.
Fields of Study & Subjects
Finite Group Theory Research
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 6
- Publication date
- 1 June 2026
- Language
- EN