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Proceedings of the American Mathematical Society

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Multiplier groups of planar difference sets and a theorem of Kantor


Authors: Chat Yin Ho and Alexander Pott
Journal: Proc. Amer. Math. Soc. 109 (1990), 803-808
MSC: Primary 05B10; Secondary 11T15
MathSciNet review: 1017847
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Abstract: A recent result of W. Kantor followed by a work of W. Feit has rekindled interest in the longstanding conjecture of finite cyclic planes. In this paper we prove that the order of the multiplier group equals the odd part of the order of the automorphism group of a Singer group if and only if the order of the plane is 2, 3, or 8. This yields another proof for Feit's result mentioned above.


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DOI: https://doi.org/10.1090/S0002-9939-1990-1017847-7
Article copyright: © Copyright 1990 American Mathematical Society