BYU

Abstract by Nathan Nicholson

Personal Infomation


Presenter's Name

Nathan Nicholson

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Stephen Humphries

Title

On Difference Sets Disjoint from a Subgroup

Abstract

We study finite abelian groups G with subgroups H and subsets DG \\ H such that the multiset {xy-1 : x, y are elements of D } contains exactly lambda copies of every nonidentity element of G. We define such sets D to be Relative Skew Hadamard Difference Sets (RSHDS). We show that G is a 2-group. We show bounds on the exponent of G.