Tagged: subnormal series
Group of Order $pq$ Has a Normal Sylow Subgroup and Solvable
Problem 245
Let $p, q$ be prime numbers such that $p>q$.
If a group $G$ has order $pq$, then show the followings.
(a) The group $G$ has a normal Sylow $p$-subgroup.
(b) The group $G$ is solvable.
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