Graduation Year

Spring 2014

Document Type

Campus Only Senior Thesis

Department

Mathematics

Reader 1

Sam Nelson

Reader 2

Winston Ou

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Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2014 Sherilyn Tamagawa

Abstract

Knot theory is an important branch of mathematics with applications in other branches of science. In this paper, we explore invariants on a special class of knots, known as virtual knots. We find new invariants by taking quotients of quandles, and introducing the fundamental Latin Alexander quandle and its Grobner basis. We also demonstrate examples of computations of these invariants.

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