Publication Date
2015
Document Type
Thesis
Committee Members
K.T. Arasu (Advisor), Yuqing Chen (Committee Member), Xiaoyu Liu (Committee Member)
Degree Name
Master of Science (MS)
Abstract
Difference sets in the group Z3 x Z3 x Z37 and the group Z3 x Z9 x Z7 are known not to exist. The only open abelian case with a sylow-3 subgroup rank 2 listed in Vera-Lopez and Sanchez's table is Z3 x Z3 x Z29. We prove for Vera-Lopez and Sanchez's table that difference sets do not exist in the open group allowing the appropriate entry to be "no". We also prove that there exist no difference sets (261, 105, 42) for any group with order 261.
Page Count
30
Department or Program
Department of Mathematics and Statistics
Year Degree Awarded
2015
Copyright
Copyright 2015, all rights reserved. This open access ETD is published by Wright State University and OhioLINK.
