engleski

On the Existence of Difference Sets in Groups of Order 96

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) dierence sets are distinguished. Thereby the existence of difference sets in 22 so far undecided nonabelian groups of order 96 is proved.

Symmetric design; difference set; automorphism group.

nije evidentirano