On the module of derivations of rings of invariants of k [ X, y ] under the action of certain dihedral groups

Article Type

Research Article

Publication Title

Journal of Algebra and its Applications

Abstract

In this paper, we study the derivation module of the ring of invariants of k[X,Y ] under the linear action of dihedral groups Dn,q < GL(2,k) mentioned in a paper by Riemenschneider [Die Invarianten der endlichen Untergruppen von GL(2, a), Math. Zeitsch. 153 (1977) 37-50]. We obtained an explicit generating set for the derivation module of R = k[X,Y ]Dn,q. We show that μ(Derk(R)) ≤ O(Dn,q).

DOI

https://10.1142/S0219498823500330

Publication Date

1-1-2023

This document is currently not available here.

Share

COinS