On generalized semidirect product of association schemes

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Abstract

In this paper, we introduce a new product operation of association schemes in order to generalize the notion of semidirect products and wreath product. We then show that our construction covers some association schemes which are neither wreath products nor semidirect products of two given association schemes.

Keywords

Association schemes
Direct product
Semidirect product
Wreath product

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This research was supported by Com2MaC-KOSEF, Korea.