A problem from abstract algebra of finite group?
52095
Prove either $G=ST$ or |$G|\geq|S|+|T|$
27728
Question on a homomorphism of a set G.
122970
A question on $p$-groups, and order of its commutator subgroup.
41731
Question about the order of the product of two elements in an abelian group
98734
Order of a product of elements in a generic group
110708
On proving that a finitely generated group has a finite number of subgroups with index $n$.
52121
Let $G$ be a finite group with $|G|>2$. Prove that ${\rm Aut}(G)$ contains at least two elements.
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
88726
Problem about solvable groups
111049
Groups with given automorphism groups
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
96878
A finite group with the property that all of its proper subgroups are abelian
30676
$G'$ and the product of all the elements in an odd order group
34567
If $G_1$ and $G_2$ are finite group and $H\leq G_1\times G_2$ then $H=P_1\times P_2$ with $P_i\leq G_i$?
101735
A finite $p$-group cannot be simple unless it has order $p$
78553
A simple finite group $G$ with $n$ p-Sylows is isomorphic to a subgroup of $\mathbb A_n$
87534
Finitely generated group which is not finitely presented