Question

Asked Nov 14, 2019

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26

Step 1

From the given information let G ={1,7,17,23,49,55,65,71} be a group under multiplication modulo 96.

It is needed to express G as an external and internal direct product of cyclic groups.

Since the number of elements in G is 8 so this will be either isomorphic to:

Step 2

Since the order of element 1 is 1 and there are four elements whose order is 4 that is {7,23,55,71}

And the rest of elements {17,4...

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