Please determine order The automorphisms group of the group $Z_{8}\times Z_{4}$, where $Z_{8}$ and $Z_{4}$ are cyclic groups of order $8$ and $4$, respectivly.
On order automorphisms group of some abelian group
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group-theory
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6As a new user to Math.SE I would like to tell you that when posting questions here, it is considered impolite to instruct other people to solve your questions for you. Please provide some context, what you have tried, where you are stuck etc. – 2012-05-19
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0I think the order of it is $2^7$. Do it is true? – 2012-05-19
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0Plz, show your attempt for solving the problem. What have you done for it? – 2012-05-19
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0@ali: The order must be even, since the group is an abelian one. – 2012-05-19
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0@ali: See this paper **AUTOMORPHISMS OF FINITE ABELIAN GROUPS** by CHRISTOPHER J. HILLAR AND DARREN L. RHEA. The last Theorem give you the order of the group. The order is $2^7$. – 2012-05-19