[SOLVED] Cylic and a non cyclic subgroup in the Permutation group S(4)

I am stuck with this problem.

In , find a cyclic subgroup of order 4 and a noncyclic subgroup of order 4.

Thanks in advance.

Quote:

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Originally Posted by akolman

I am stuck with this problem.

In , find a cyclic subgroup of order 4 and a noncyclic subgroup of order 4.

Thanks in advance.

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< (1 2 3 4) > and Klein four-group.

Quote:

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Originally Posted by akolman

I am stuck with this problem.

In , find a cyclic subgroup of order 4 and a noncyclic subgroup of order 4.

Thanks in advance.

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For non-cyclic take .