Question from Herstein's Topics in Algebra on Sylow subgroups
58251
To show every sylow p-subgroup is normal in G
59007
Suppose $|G| = 105$. Show that it is abelian if it has a normal $3$-Sylow subgroup.
33945
Showing that $|N \cap Z(G)| > 1$ for normal subgroups of p-groups
88199
The commutator subgroup of a quotient in terms of the commutator subgroup and the kernel
51352
Subgroups of a finite abelian group
33455
Question on group homomorphisms involving the standard Z-basis
139100
A question on the group algebra $k[G]$ of a finite abelian group
57227
Maximal normal $\pi$-subgroups and torsion subgroups
142938
Sylow 2-subgroups of the group $\mathrm{PSL}(2,q)$
140871
Different Applications of Sylow Theorems
137840
Herstein Topics in Algebra, $\pi \mid a$ or $(\pi,a) = 1$
11957
G is the product of its Sylow subgroups
113936
Showing that a finite abelian group has a subgroup of order m for each divisor m of n
154398
Show that H is a subgroup of G
22444
Normal subgroups of dihedral groups
156941
Subgroups of $\mathbb{Z}$
72048
Finding Sylow 2-subgroups of the dihedral group $D_n$