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University of Richmond

Department of Math & Statistics Faculty Publications

1991

Dillon's conjuncture

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A Result On Dillon's Conjecture In Difference Sets, James A. Davis Jul 1991

A Result On Dillon's Conjecture In Difference Sets, James A. Davis

Department of Math & Statistics Faculty Publications

Dillon has conjectured that any group of order 22d+2 with a normal subgroup isomorphic to Z2d+1 will have a difference set. He was able to show that this is true if the subgroup is central: this paper extends that idea to noncentral subgroups.