K.T. Arasu (Advisor), Yuqing Chen (Committee Member), Xiaoyu Liu (Committee Member)
Master of Science (MS)
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.
Department or Program
Department of Mathematics and Statistics
Year Degree Awarded
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