3.II.7E

State Lagrange's theorem. Use it to describe all groups of order $p$, where $p$ is a fixed prime number.

Find all the subgroups of a fixed cyclic group $\langle x\rangle$ of order $n$.

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3.II.7E

State Lagrange's theorem. Use it to describe all groups of order $p$, where $p$ is a fixed prime number.

Find all the subgroups of a fixed cyclic group $\langle x\rangle$ of order $n$.