BYU

Abstract by Rebeca Paulsen

Personal Infomation


Presenter's Name

Rebeca Paulsen

Degree Level

Doctorate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Stephen Humphries

Title

Weak Cayley Table Groups of Crystallographic Groups

Abstract

Let be a group.  A Weak Cayley Table mapping f : G ---> G is a bijection such that f(g1g2 ) is conjugate to f(g1) f(g2for all g1, g2 in G. The set of all such mappings forms a group W(G) under composition.  We study W(G) for several of the three dimensional crystallographic groups G.