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- W2003184562 abstract "Let D be a ( v , k , λ )-difference set in a group G . Assume that G has a normal subgroup N such that G / N is cyclic or nearly cyclic. Under the self-conjugacy assumption on exp( G / N ), we shall give bounds on | N | and λ . The theorem is applicable to a wider variety of parameters for groups, not necessarily abelian. These bounds exclude a (96, 20, 4)-difference set in Z /4 Z × Z /8 Z × Z /3 Z or Z /2 Z × Z /2 Z × Z /8 Z × Z /3Z, which were recently proved by Arasu et al . [1996, K. T. Arasu, J. A. Davis, J. Jedwab, S. L. Ma, and R. L. McFarland, in “Exponent Bounds for a Family of Abelian Difference Sets” (K. T. Arasu, J. F. Dillon, K. Harada, S. K. Sehgal, and R. L. Solomon, Eds.), pp. 129–143. DeGruyter Verlag, Berlin/New York]." @default.
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- W2003184562 date "1998-11-01" @default.
- W2003184562 modified "2023-10-14" @default.
- W2003184562 title "A Note on Difference Sets" @default.
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- W2003184562 doi "https://doi.org/10.1006/jcta.1998.2881" @default.
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