Abstract
dc:description.abstractOne of the most important invariants of the Knot type, is the one called Knot polynomials. The Knot polynomials are somehow easy to calculate, or at least they are easier to handle than other invariants of the Knot type, such as the presentation of the group of the Knot, or the elementary ideals. The Knot polynomials have important properties, that are very useful in the process of recognizing if a given polynomial can or cannot be a Knot polynomial. In this paper, we have proved that the central coefficient of the Knot polynomials cannot be zero, so the Knot polynomials always have an odd number of terms different from zero. We showed also that this central coefficient is an odd number. This coefficient is an invariant of the Knot type, and it is weaker than the Knot polynomial itself.
Degree
thesis:*- Name thesis:degree_name
- Master of Arts
- Level thesis:degree_level
- Masters
- Discipline thesis:degree_discipline
- Natural Sciences
- Grantor
- Rice University
- Year dc:date.issued
- 1976
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Escobar, Francisco D.
- Advisor dc:contributor.advisor
-
- Shalen, Peter B.
Rights
dc:rights- Statement dc:rights
-
- Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
- Language dc:language.iso
- eng
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- https://hdl.handle.net/1911/104837
- OAI identifier oai:identifier
- oai:repository.rice.edu:1911/104837