2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64083Suppose that G is a linearly reductive group. We study the minimal free resolution of the invariant ring. If G is a finite linearly reductive group, then the ring of invariants is generated in degree at most |G|, the group order. We prove that the ideal of relations of a minimal set of generators of the invariant ring is generated in degree at most 2|G|.7 pages, minor changesCommutative AlgebraAlgebraic GeometryCombinatorics13A50, 13D02text