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A new product construction for partial difference sets |
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| Authors: | John Polhill James A. Davis Ken Smith |
| Affiliation: | 1. Department of Mathematics, Computer Science, and Statistics, Bloomsburg University, Bloomsburg, PA, 17815, USA 2. Department of Mathematics and Computer Science, University of Richmond, Richmond, VA, 23173, USA 3. Department of Mathematics and Statistics, Sam Houston State University, Huntsville, TX, 77341, USA |
| Abstract: | Relatively few constructions are known of negative Latin square type Partial Difference Sets (PDSs), and most of the known constructions are in elementary abelian groups. We present a product construction that produces negative Latin square type PDSs, and we apply this product construction to generate examples in p-groups of exponent bigger than p. |
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