On the existence of difference sets in groups of order 96
نویسندگان
چکیده
The correspondence between a (96, 20, 4) symmetric design having regular automorphism group and a difference set with the same parameters has been used to obtain difference sets in groups of order 96. Starting from eight such symmetric designs constructed by the tactical decomposition method, 55 inequivalent (96, 20, 4) difference sets are distinguished. Thereby the existence of difference sets in 22 so far undecided nonabelian groups of order 96 is proved.
منابع مشابه
Nonabelian Groups with (96, 20, 4) Difference Sets
We resolve the existence problem of (96, 20, 4) difference sets in 211 of 231 groups of order 96. If G is a group of order 96 with normal subgroups of orders 3 and 4 then by first computing 32and 24-factor images of a hypothetical (96, 20, 4) difference set in G we are able to either construct a difference set or show a difference set does not exist. Of the 231 groups of order 96, 90 groups adm...
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عنوان ژورنال:
- Discrete Mathematics
دوره 307 شماره
صفحات -
تاریخ انتشار 2007