Show that the matrices form a group. Find an isomorphism of G with a more familiar group of order 6
36137
Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$
41977
If $G$ is a group, show that $x^2ax=a^{-1}$ has a solution if and only if $a$ is a cube in $G$
134353
A group of order $108$ has a proper normal subgroup of order $\geq 6$.
104349
Proof by induction involving symmetric groups
121142
Take $G$ to be a group of order $600$. Prove that for any element a in $G$ there exist a $b$ in $G$ such that $a = b^7$
42469
Find all groups of order $6$.
90584
Show set of affine transformations is a group
55493
Showing that the path-connected component of the identity matrix in a subgroup of $GL_n(\Bbb R)$ is a normal subgroup
70394
Prove that $a * b$ is a group (Hungerford, 2nd ed., sec $7.2$, Exercise $22$)
5616
How can I prove the IFF condition for this group of matrices?
120155
How to show that this group presentation is isomorphic to dihedral group?
154398
Show that H is a subgroup of G
128443
Isomorphism between finite groups
7575
Show the commutator subgroup of $S_{n}$ is $A_{n}$ for $n \geq 5$
146760
Prove that H is a subgroup of G
103146
Proof that the Rubik’s Cube group is 2-generated
136389
Finding an isomorphic subring of matrices