The automorphism group of a Dihedral group of order 2n is isomorphic to the holomorph of a cyclic group of order n. The holomorph of a cyclic group of order n is a complete group when n is odd. Hence automorphism groups of Dihedral groups of order 2n are its own automorphism groups whenever n is odd. In this paper, we prove that the result is also true for those Dihedral groups of order 2n where n is twice a prime number.

 

 

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Author(s)

Biju, Gopinadhan Sathikumari, Sajikumar, Sadanandan, Vinod, Sivadasan