On Degree Bound for Syzygies of Polynomial Invariants

Authors

Zhao Gao, The College of WoosterFollow

Abstract

Suppose G is a finite linearly reductive group. The degree bound for the syzygy ideal of the invariant ring of G is given in [2]. We develop the theory of commutative algebra and give the proof from [2] 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|.

Advisor

Zindulka, Ondrej

Department

Mathematics

Recommended Citation

Gao, Zhao, "On Degree Bound for Syzygies of Polynomial Invariants" (2017). Senior Independent Study Theses. Paper 7699.
https://openworks.wooster.edu/independentstudy/7699

Disciplines

Algebra

Keywords

invariant theory, syzygy, free resolution, commutative algebra

Publication Date

2017

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis Exemplar