- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- Intersective polynomials and their construction
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
Intersective polynomials and their construction Lee, Paul David
Abstract
A monic polynomial with integer coefficients is called intersective if it has no root in the rational numbers, but has a root modulo m for all positive integers m > 1. Equivalently, the polynomial has a root in each p-adic field ℚp. Using three different methods for forming these intersective polynomials, we produce an infinite family with Galois group A₄, an infinite family with Galois group D₅ and classify intersective polynomials with holomorph Galois group ℤ₂e × ℤ*₂e
Item Metadata
| Title |
Intersective polynomials and their construction
|
| Creator | |
| Publisher |
University of British Columbia
|
| Date Issued |
2016
|
| Description |
A monic polynomial with integer coefficients is called intersective if it has no root in the rational numbers, but has a root modulo m for all positive integers m > 1. Equivalently, the polynomial has a root in each p-adic field ℚp. Using three different methods for forming these intersective polynomials, we produce an infinite family with Galois group A₄, an infinite family with Galois group D₅ and classify intersective polynomials with holomorph Galois group ℤ₂e × ℤ*₂e
|
| Genre | |
| Type | |
| Language |
eng
|
| Date Available |
2016-09-22
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0314575
|
| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
|
| Graduation Date |
2016-11
|
| Campus | |
| Scholarly Level |
Graduate
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International