Some four-dimensional orthogonal invariants

Journal of Algebra and Its Applications 2026 Open access

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Authors: Shan Ren, Runxuan Zhang
DOI: 10.1142/s0219498828500041
Cited by: 0

Abstract

Let [Formula: see text] be an odd prime and [Formula: see text] be the prime field of order [Formula: see text]. Consider a two-dimensional orthogonal group [Formula: see text] over [Formula: see text] acting on the standard representation [Formula: see text] and the dual space [Formula: see text]. We compute the invariant ring [Formula: see text] via explicitly exhibiting a minimal generating set. Our method provides an application of the [Formula: see text]-invariants appearing in the covariant theory of finite groups.

Fields of Study & Subjects

Finite Group Theory Research Algebraic Geometry and Number Theory Rings Modules and Algebras

Publication details

Journal / source
Journal of Algebra and Its Applications
Publisher
World Scientific Pub Co Pte Ltd
Publication date
30 June 2026
Language
EN