On central difference sets in certain non-abelian 2-groups

نویسندگان

  • Rod Gow
  • Rachel Quinlan
چکیده

In this note, we define the class of finite groups of Suzuki type, which are non–abelian groups of exponent 4 and class 2 with special properties. A group G of Suzuki type with |G| = 22s always possesses a non–trivial difference set. We show that if s is odd, G possesses a central difference set, whereas if s is even, G has no non–trivial central difference set.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 113  شماره 

صفحات  -

تاریخ انتشار 2006