Why is it that any two distinct subgroups of G of order p (prime) intersect in 1?
It says so here on page 29.
But why is it?
Why is it that any two distinct subgroups of G of order p (prime) intersect in 1?
It says so here on page 29.
But why is it?
Converting my comment to an answer to get the question off the Unanswered list:
HINT: If $H$ and $K$ are subgroups of $G$, $H\cap K$ is a subgroup of $H$ and of $K$. What are the only subgroups of a group of prime order?