• ISOMORPHISM OF GROUPS OF ORDER 8 WITH CERTAIN POINT GROUPS

M. Raja Pavan Kumar*

Abstract


This paper describes that the nature of isomorphism between cyclic group of order 8 (D4, Q, C8, C2C4 and C2C2C2)and point group (D4, C4v, D2d, C8, S8, C4h and D2h ) which are obtained by using Burnside method (or) great orthogonality theorem method, the irreducible representation of all groups are isomorphic to it except quaternion group Q.


Keywords


Group, Cyclic group, Dihedral group, Isomorphism, irreducible.

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