Non-abelian groups that are "closest" to being abelian
40287
Prove: if $a,b\in G$ commute with probability $>5/8$, then $G$ is abelian
59902
Example of $2$ non-isomorphic groups that have the same quotients
151287
Isomorphic abelian groups which are not isomorphic R-modules
60075
Does there exist an $n$ such that all groups of order $n$ are Abelian?
117965
Does there exist some sort of classification of incompressible groups?
108309
An example of a non-abelian group of order $p^3$
115574
Finitely presented group with fewer relations than generators.
156342
When we can say a group can not be abelian
15341
Non-abelian finite group in which more than half of the elements have order $2$
68971
Elementary approach to proving that a group of order 9 is Abelian
87534
Finitely generated group which is not finitely presented
114662
Construction of a specific non-commutative and infinite group (with conditions on the order of the elements)
75590
How many normal subgroups does a non-abelian group $G$ of order $ 21$
121481
Non-abelian finite $p$-group in which every element has prime order?
124709
Suppose G be a non-abelian group and H,K be two abelian subgroups of G. Then must HK be an abelian subgroup of G?
47539
Find an abelian infinite group such that every proper subgroup is finite
35124
Can every non-simple group $G$ be written as a semidirect product?