Showing $\langle a,b\mid ab^2＝b^3a, ba^2＝a^3\rangle$ is isomorphic to the trivial group.
8483
A Particular Two-Variable System in a Group
130081
Show that $A_n$ is the kernel of a group homomorphism of $S_n \rightarrow \{−1,1\}$.
120183
Prove that $S_3\times\mathbb{Z}_2$ is isomorphic to $D_6$
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.
18540
Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
66708
Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
43645
Show that $G/H\cong S_3$
78263
Prove $GL_n(\Bbb{R})/SL_n(\Bbb{R}) \cong \Bbb{R}^\times$
124140
Quick way to find the number of the group homomorphisms $\phi:{\bf Z}_3\to{\bf Z}_6$?
56097
If $A$ and $AB-BA$ commute, show that $AB-BA$ is nilpotent
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
151559
Please help: How to show that Aut(G) is a subgroup of Sym(G)
76100
Showing that $\left\langle a,b \mid abab^{-1}\right\rangle \cong \pi_1(K) \cong \left\langle c,d \mid c^2 d^2 \right\rangle$
36980
Prove the third isomorphism theorem
27056
$ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$