isomorphism between group and product of kernel by image
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
134458
Isomorphisms preserving integral domains and fields
152603
Group isomorphic to its automorphism group
152196
About inner products, norms and metrics
88013
injective linear transformation basis.
135855
Prove the group of all real translations and all glide reflections with axis$R$ is isomorphic to $\{1,-1\}\times \mathbb R$
118025
Kernel of composition of linear transformations
88199
The commutator subgroup of a quotient in terms of the commutator subgroup and the kernel
83872
Isomorphisms for graphs with loops and multiple edges
27670
Group homomorphisms $\mathbb{Q}\to\mathbb{R}$
121257
Image of Homomorphism of Lie groups
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
103924
Kernel of a substitution map
38372
Ways to compute inner products of tensors
122623
Geometric intuition for the tensor product of vector spaces
145462
On the canonical isomorphism between $V$ and $V^{**}$
29453
An epimorphism from $S_{4}$ to $S_{3}$ having the kernel isomorphic to Klein four-group