UDOAKA, Gabriel Otobong Ph.D
Department of Mathematics,
Faculty of Science,
Akwa Ibom State University,

Akwa Ibom State, Nigeria
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This paper presents the generators and computation of inner automorphism where the group of order 6 and 12 are used. The symmetry and the dihedral group is obtained through rotation and reflection of triangle and hexagon and the permutations generated by the generators is obtained by taking the products for order 6 and 12
respectively. The multiplication table for cyclic group will be generated and presented with it generators and relation respectively. The multiplication table for 𝐴4, 𝐢3 Γ— 𝐢4 , 𝐢2 Γ— 𝐢3, 𝐢2 Γ— 𝐢6 is used for the computation of inner automorphism of a symmetry group of order 6 and the dihedral group of order 12 and the images is also shown.
Keywords: Generators , Inner automorphism, Permutation, Symmetry.

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