Suppose G is a finite linearly reductive group. The degree bound for the syzygy ideal of the invariant ring of G is given in . We develop the theory of commutative algebra and give the proof from  that the ideal of relations of the minimal set of generators of invariant ring of a finite linearly reductive group G is generated in degree at most 2|G|.
Gao, Zhao, "On Degree Bound for Syzygies of Polynomial Invariants" (2017). Senior Independent Study Theses. Paper 7699.
invariant theory, syzygy, free resolution, commutative algebra
Bachelor of Arts
Senior Independent Study Thesis Exemplar
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