Abstract
The generalized wreath product of permutation groups was introduced by Evdokimov and Ponomarenko in order to study the schurity problem for S-rings over cyclic groups. In this paper we construct the generalized wreath product of permutation groups by a method entirely different from Evdokimov and Ponomarenko’s construction. Then we give a necessary and sufficient condition for the wedge product of schurian association schemes coming from the generalized wreath product of permutation groups.
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