Isomorphism and group product
105951
Does $G\times K\cong H\times K$ imply $G\cong H$?
87766
Using Cayley's Theorem to find an isomorphic subgroup.
128443
Isomorphism between finite groups
81354
The product of all the elements of a finite abelian group
18415
Direct sum of Abelian groups and Isomorphism
70688
How can I prove that the additive group of rationals is not isomorphic to a direct product of two nontrivial groups?
25728
A second isomorphism theorem for action on cosets
120968
Isomorphism of stabilizer over $S_n$ to $S_{n-1}$
111883
Representations of a product of Lie groups
99538
Non-trivial groups pairwise non-isomorphic with isomorphic direct products
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
126790
Basic Isomorphism Question
55778
Group theoretic meaning of natural isomorphisms between certain functors
59995
Isomorphism between $\mathbb{C}^* $ under multiplication with $\mathbb{C}$ under addition.
64372
Do the isomorphism's of groups form an equivalence relation on the class of all groups?
126098
Isomorphism of factor groups
90433
Isomorphisms between $(\mathbb Z_4,+)$ and $(U_5,*)$