Abstract
A group divisible design with regular automorphism group G can be described entirely in terms of G, a subgroup H of G, and a subset Δ of G called relative quotient set of G with respect to H. In this article we are interested in multipliers of relative quotient sets. We use methods due to Ott to generalize a multiplier theorem of Ko and Ray-Chaudhuri to not necessarily abelian groups.
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References
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OTT, U.: Some Remarks on Representation Theory in Finite Geometry. Lecture Notes 893 (1981), 68–110
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Löwe, S. On multiplier theorems of relative quotient sets. J Geom 29, 78–86 (1987). https://doi.org/10.1007/BF01234989
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DOI: https://doi.org/10.1007/BF01234989