Paper 3, Section I, D

State and prove Lagrange's Theorem.

Show that the dihedral group of order $2 n$ has a subgroup of order $k$ for every $k$ dividing $2 n$.

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Paper 3, Section I, D

State and prove Lagrange's Theorem.

Show that the dihedral group of order $2 n$ has a subgroup of order $k$ for every $k$ dividing $2 n$.