An Analysis of Group Theoretic Properties of A Class of (123)- avoiding Pattern of Aunu Numbers Using Thin Cyclic Design

Abstract

This paper looks on some Application of Aunu group using some class of cyclic design. It shows that by using the procedure of thin cyclic designs the element of the generating set can be generated from another, this shows that each of the four element of the generating set has index 5and procedure produce 20 instinct element from Aunu group having only 4 distinct cyclic.

Keywords.Aunu Groups, Aunu Patterns. Cyclic, Permutation, Association scheme, cyclic design.