I am stuck with this problem. In $\displaystyle S_4$, find a cyclic subgroup of order 4 and a noncyclic subgroup of order 4. Thanks in advance.
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Originally Posted by akolman I am stuck with this problem. In $\displaystyle S_4$, find a cyclic subgroup of order 4 and a noncyclic subgroup of order 4. Thanks in advance. < (1 2 3 4) > and Klein four-group.
Originally Posted by akolman I am stuck with this problem. In $\displaystyle S_4$, find a cyclic subgroup of order 4 and a noncyclic subgroup of order 4. Thanks in advance. For non-cyclic take $\displaystyle V=\{ (12)(34),(13)(24),(14)(23), \text{id} \}$.
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