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Title: On the invariant rings of modular bireflection groups with applications of Macaulay's double annihilator correspondence
Author: Lee, Christopher
Awarding Body: University of Kent
Current Institution: University of Kent
Date of Award: 2019
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Let V be a faithful finite-dimensional representation of a finite group G over an odd prime field k, and S = k[V], the symmetric algebra on the dual V*. Chapter 2 shows how to find the invariant ring S^G when G is an abelian unipotent two-row group. The invariant rings are complete intersections. Chapter 3 shows an algorithm that computes the Macaulay inverse for any homogenous (S^+)-primary irreducible ideal of S. It will also be shown that the Hilbert ideal of the invariant rings of the abelian two-row groups from chapter 2 are complete intersection ideals with inverse monomials as Macaulay inverses.
Supervisor: Fleischmann, Peter ; Shank, Jim ; Pech, Clelia Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available