Is there difference between finitely presented groups and finitely generated groups?
87534
Finitely generated group which is not finitely presented
30329
Why is the collection of all groups a proper class rather than a set?
122353
Status of the classification of non-finitely generated abelian groups.
63162
Is there a characterization of groups with the property $\forall N\unlhd G,\:\exists H\leq G\text{ s.t. }H\cong G/N$?
113259
The confusing nature of direct sum for finite abelian groups
43750
Subgroups of finite solvable groups. Solvable?
130937
Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
51145
Is it possible to prove $g^{|G|}=e$ in all finite groups without talking about cosets?
9806
$M$ finitely generated if submodule and quotient are finitely generated.
44165
the image of normal subgroups
43814
What does it mean when a set is said to be a "finitely generated vector space"?
98474
Show the existence of a certain subgroup of F2
122959
How is number of conjugacy class related to the order of a group?
96614
Finite number of subgroups $\Rightarrow$  finite group
4383
Finitely generated monoids - how to show that there is not first order set axiomatizing them.
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
120495
Does this correctly interpret the "$\cong$" between groups as "$=$" between sets?