Is every infinite group isomorphic to some isometry (sub)group?
139025
Do all Groups have a representation?
120155
How to show that this group presentation is isomorphic to dihedral group?
9232
Group with proper subgroups infinite cyclic
47539
Find an abelian infinite group such that every proper subgroup is finite
67374
Is it true that $\mathbb{R}$ and $\mathbb{R}^2$ are isomorphic as abelian groups?
18160
How to show that the group of nonzero real numbers under multiplication is not isomorphic to the group of real numbers under addition?
113413
How do I show that two groups are not isomorphic?
123860
When are two direct products of groups isomorphic?
133348
Is isomorphism not always unique?
151862
Is any subgroup of a direct product isomorphic to a direct product of subgroups?
152603
Group isomorphic to its automorphism group
146969
Proving that every group of order $4$ is isomorphic to $\Bbb Z_4$ or $\Bbb Z^*_8$
158873
Is every group the unit group of some ring?
125982
If the dual spaces are isometrically isomorphic are the spaces isomorphic?
23991
Every finite group is isomorphic to some Galois group for some finite normal extension of some field.
32428
Group homomorphisms and which of the following statements are true (NBHM-$2014$)
70904
Subgroups of $U(n)$ isomorphic to a direct sum of cyclic groups