Isomorphisms preserve order of elements
56234
Isomorphism $f$ preserves the order of an element?
115649
Proving two sets $A, B$ are order isomorphic
140583
What does it mean for something to hold "up to isomorphism"?
49242
stab(S) is isomorphic to $ S_k \times S_{n-k} $
73652
Exhibiting an isomorphism between two finite fields
99938
Is the conjugation map always an isomorphism?
120968
Isomorphism of stabilizer over $S_n$ to $S_{n-1}$
126790
Basic Isomorphism Question
116594
Finite fields are isomorphic
98436
Finite order endomorphisms
128443
Isomorphism between finite groups
35961
In what sense of "structure" do group homomorphisms "preserve structure"?
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$
52556
Isomorphism of $S^1$.
84789
Order of products of elements in a finite Abelian group
28676
Is a finite group uniquely determined by the orders of its elements?
6385
Minimal counterexamples of the isomorphism problem for integral group rings