A finite product of nilpotent groups is nilpotent
129610
Why is the direct product of a finite number of nilpotent groups nilpotent?
144218
Does every finite nilpotent group occur as a Frattini subgroup?
123860
When are two direct products of groups isomorphic?
152954
Extensions of finite cyclic groups
138862
Product of all elements in an odd finite abelian group is 1
59211
Product of Finite Abelian Group
130937
Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
145159
Finite group is abelian if the representatives of its conjugacy classes commute
36147
A finite group is nilpotent iff two elements with relatively prime order commute
29003
Is the dihedral group $D_n$ nilpotent? solvable?
114221
A Group $G$ is soluble $\iff G^{(k)}=\{e\}$ for some $k$
133046
Showing $[L,rad(L)]$ is nilpotent.
47179
Prove that $[N, G']=1$ when $N$ is a nilpotent subgroup of a group $G$?
96878
A finite group with the property that all of its proper subgroups are abelian
63882
Show that the heisenberg group is nilpotent
84789
Order of products of elements in a finite Abelian group
80976
Direct Product Of Abelian Group