# Journal of the Ramanujan Mathematical Society

Volume 33, Issue 2, June 2018 pp. 149–158.

On the module of derivations of certain rings of invariants

**Authors**:
Arindam Dey and Vinay Wagh

**Author institution:**Department of Mathematics, IIT Guwahati, Guwahati, Assam, India

**Summary: **
Let k be an algebraically closed field of characteristic~0.
Let G be a finite cyclic subgroup of GLm(k) having no
non-trivial pseudo-reflections. Let R be the ring of invariants
obtained by the linear action of G on k [X1 ,..., Xm]. We
give an algorithm to find a generating set for Der R. We also
give an upper bound for μ (Der R).

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