BYU

Abstract by Shawn Green

Personal Infomation


Presenter's Name

Shawn Green

Co-Presenters

None

Degree Level

Masters

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Rodney Forcade

Title

Polya Counting for Lattices: An Introduction

Abstract

Applications of Polya Enumeration will be discussed especially as it relates to 2 or 3 dimensional integer lattices and sublattices. A Consequence of Burnside's Lemma, Polya's Theorem allows for a more detailed enumeration of all symmetrically distinct colorings of the points in a lattice. This enumeration process has an applications in counting the number of symetrically distinct crystal structures.