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Some results on multipliers and numerical multiplier groups of difference sets

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Abstract

In this paper, we use number theoretic methods to study multipliers and numerical multiplier groups of difference sets. We obtain a relation between the decomposition group of a prime divisor of the order of a difference set and the numerical multiplier group, this gives rise to some results concerning the numerical multiplier groups of difference sets. Also we give two characterizations of strong multipliers of a subset in an abelian group which have some applications in difference sets.

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  1. Department of Mathematics, Ohio State University, 43210, Columbus, OH, USA

    Qing Xiang

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  1. Qing Xiang
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Xiang, Q. Some results on multipliers and numerical multiplier groups of difference sets. Graphs and Combinatorics 10, 293–304 (1994). https://doi.org/10.1007/BF02986679

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  • DOI: https://doi.org/10.1007/BF02986679

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