Symbolic computation of resolvents
- UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
- Sandi Rudzinski (Creator)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
- Advisor
- Sebastian Pauli
Abstract: Resolvent polynomials are used in the determination of Galois groups of polynomials. The computation of the resolvent usually relies on root approximations requiring a high degree of precision. Leonard Soicher developed a method to compute absolute linear resolvents symbolically without the need for root approximations. This thesis details that method and expands it to compute relative linear resolvents symbolically with respect to the wreath product of a symmetric group and a transitive permutation group.
Symbolic computation of resolvents
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Created on 8/1/2017
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Additional Information
- Publication
- Thesis
- Language: English
- Date: 2017
- Keywords
- Absolute resolvents, Galois group, Linear resolvents, Relative resolvents, Resolvents, Wreath product
- Subjects
- Resolvents (Mathematics)
- Wreath products (Group theory)
- Polynomials
- Galois theory