Question

Find Aut( 15). Use the Fundamental Theorem of Abelian Groups to express this group as an external direct product of cyclic groups of prime power order.

Answer 1

Explanation:

From the given data

G={1,23,25,47,49,71,73,95}

First x compute order of G

|1|=1,|23|=4, |25|=4, |47|=2, |49|=2,

|71|=4, ..............see attached file

Answer 2

The solution is attached in the picture below

Explanation: