BYU

Abstract by Shawn Green

Personal Infomation


Presenter's Name

Shawn Green

Degree Level

Masters

Abstract Infomation


Department

Mathematics

Faculty Advisor

Rodney Forcade

Title

Extensions of the Power Group Enumeration Theorem

Abstract

The Power Group Enumeration Theorem counts orbits of functions between finite sets with a group of permutations acting on the domain and co-domain simultaneously. However, it assumes a group structure of a direct product of two subgroups. In the case that the group is not a direct product of two subgroups, the orbits can still be counted systematically. Additionally, more information can be extracted about the different kinds of orbits produced.