Tagged: Sylow’s theorem
Sylow’s Theorem Problems and Solutions.
Check out the post “Sylow’s Theorem (summary)” for the statement of Sylow’s theorem and various exercise problems about Sylow’s theorem.
The other popular posts in Group Theory are:
Suppose that $G$ is a finite group of order $p^an$, where $p$ is a prime number and $p$ does not divide $n$.
Let $N$ be a normal subgroup of $G$ such that the index $|G: N|$ is relatively prime to $p$.
Then show that $N$ contains all $p$-Sylow subgroups of $G$.Add to solve later