Is there is group which can not be made into ring with any operation?
54236
Does every Abelian group admit a ring structure?
129830
A group with no proper non-trivial subgroups
113413
How do I show that two groups are not isomorphic?
80849
There does not exist group $G$ such that Aut$(G)\cong \mathbb{Z}_n$ (for odd $n$)
114662
Construction of a specific non-commutative and infinite group (with conditions on the order of the elements)
146276
Is there a ring such that the nilradical of it is not nilpotent?
60075
Does there exist an $n$ such that all groups of order $n$ are Abelian?
133495
Example of a ring without Invariant Basis Property
101735
A finite $p$-group cannot be simple unless it has order $p$
46843
A ring without the Invariant Basis Number property
45508
Is the empty set a group?
111679
Example of a ring without unity that has a subring with unity?
97751
Center of a group ring?
104460
When a group is cyclic
139218
Is this group solvable?
87534
Finitely generated group which is not finitely presented
46001
Can a finite group act freely (as homeomorphisms) on $\mathbb R^n$