Abstract:

This paper deals with the automorphism group A(Q_{2^n})and holomorph H(Q_{2^n}) of quaternion group(in generalized sense) Q_{2^n} of order  2^n(n≥3). The structure and permutation representatives of A(Q_{2^n)) and H(Q_{2^n}) are given.

Key words: Quaternion group(in generalized sense), Automorphism group, Holomorph.