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Zbl 0613.05011
Arasu, K.T.
On Lander's conjecture for the case $\lambda =3$.
(English)
[J] J. Comb. Math. Comb. Comput. 1, 5-11 (1987). ISSN 0835-3026

Collecting various results and using hand calculation the following conjecture is verified (except for 3 cases) for $k\le 500$ and $\lambda =3:$ if there exists a (v,k,$\lambda)$ difference set in an Abelian group with cyclic Sylow p-group, then p does not divide (v,k-$\lambda)$.
[G.Ferrero]
MSC 2000:
*05B10 Difference sets
20D60 Arithmetic and combinatorial problems on finite groups

Keywords: Abelian difference sets

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