New Families of Semi-Regular Relative Difference Sets |
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| Authors: | James A Davis Jonathan Jedwab Miranda Mowbray |
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| Institution: | (1) Department of Mathematics and Computer Science, University of Richmond, Virginia, 23173, U.S.A.;(2) Hewlett-Packard Laboratories, Filton Road, Stoke Gifford, Bristol BS12 6QZ, U.K. |
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| Abstract: | We give two constructions for semi-regular relative difference sets (RDSs) in groups whose order is not a prime power, where the order u of the forbidden subgroup is greater than 2. No such RDSs were previously known. We use examples from the first construction to produce semi-regular RDSs in groups whose order can contain more than two distinct prime factors. For u greater than 2 these are the first such RDSs, and for u=2 we obtain new examples. |
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| Keywords: | relative difference set difference set character theory combinatorics |
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