## Abstract

Let D be a (v, k, λ) difference set over an abelian group G with even n = k - λ. Assume that t ∈ N satisfies the congruences t = q^{fi}_{i} (mod exp(G)) for each prime divisor q_{i} of n/2 and some integer f_{i}. In [4] it was shown that t is a multiplier of D provided that n > λ, (n/2, λ) = 1 and (n/2, v) = 1. In this paper we show that the condition n > λ may be removed. As a corollary we obtain that in the case of n = 2p^{a} when p is a prime, p should be a multiplier of D. This answers an open question mentioned in [2].

Original language | English |
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Pages (from-to) | 77-89 |

Number of pages | 13 |

Journal | Journal of Algebraic Combinatorics |

Volume | 7 |

Issue number | 1 |

DOIs | |

State | Published - 1 Jan 1998 |

Externally published | Yes |

## Keywords

- Abelian group
- Difference set

## ASJC Scopus subject areas

- Algebra and Number Theory
- Discrete Mathematics and Combinatorics

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