New families of semi-regular relative difference sets

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作者
Davis, James A. [1 ]
Jedwab, Jonathan [1 ]
Mowbray, Miranda [1 ]
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[1] Univ of Richmond, Richmond, United States
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Computational methods - Differential equations - Finite element method - Problem solving;
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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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