Prove: A group of order 315 with a normal 3-Sylow group is Abelian.
46940
On Groups of Order 315 with a unique sylow 3-subgroup .
37971
Prove that the center of a group is a normal subgroup
67973
Prove that a finite abelian group is simple if and only if its order is prime.
133272
Number of normal subgroups of a non abelian group of order $21$... CSIR December $2013$
74586
Prove that every group of order $4$ is abelian
43783
Abelian group (Commutative group)
91772
Proving that $A_n$ is the only proper nontrivial normal subgroup of $S_n$, $n\geq 5$
111375
Normality of subgroups and Sylow groups under homomorphisms...
61732
Prove any group with 3 elements is isomorphic to $\mathbb{Z}_3$
49768
If Gal(K,Q) is abelian then |Gal(K,Q)|=n
113936
Showing that a finite abelian group has a subgroup of order m for each divisor m of n
57809
For which $n$, $G$ is abelian?
108309
An example of a non-abelian group of order $p^3$
78553
A simple finite group $G$ with $n$ p-Sylows is isomorphic to a subgroup of $\mathbb A_n$
14528
Proof that all abelian simple groups are cyclic groups of prime order
60208
Proof of property of abelian group
116125
A group $G$ with $G'$ abelian and every abelian normal subgroup finite