When is $G$, a finite group, the sum of its Sylow $p$-subgroups?
42096
Direct product of Sylow subgroups
43750
Subgroups of finite solvable groups. Solvable?
113936
Showing that a finite abelian group has a subgroup of order m for each divisor m of n
114221
A Group $G$ is soluble $\iff G^{(k)}=\{e\}$ for some $k$
101602
consider the group $G=\mathbb Q/\mathbb Z$. For $n>0$, is there a cyclic subgroup of order n
91997
Product of two subgroups the whole group?
55976
Are groups satisfying $g=g^{-1}$ for all $g \in G$ abelian?
29802
Part of simple proof of nontrivial center in p-group
81354
The product of all the elements of a finite abelian group
143314
Sylow subgroup of $S_{p^2}$
142228
Proof that a subset closed under group operation of a finite group is a subgroup
51352
Subgroups of a finite abelian group
30676
$G'$ and the product of all the elements in an odd order group
28181
Sylow subgroups of $S_3$ and $S_4$
47692
Homomorphic image of a Sylow p-subgroup is Sylow p-subgroup.
25235
Finite abelian groups - direct sum of cyclic subgroup
70904
Subgroups of $U(n)$ isomorphic to a direct sum of cyclic groups