How to solve $[a,b]\cdot[c,d] = [x,y]$ in a group $G$?
123610
How to show that the commutator subgroup is a normal subgroup
108310
$(a_1 a_2 \cdots a_n)^2=e$ in a finite abelian group
111515
Proving that $-a=(-1)\cdot a$
151559
Please help: How to show that Aut(G) is a subgroup of Sym(G)
116205
System of equations in a,b,c,d
105666
What's an easy way to show that $GL(n,\mathbb C)$ is connected?
131800
How to solve cycle equations in Group Theory? Is my approach correct?
120495
Does this correctly interpret the "$\cong$" between groups as "$=$" between sets?
147298
How to find all subgroups of a direct product?
66863
How is the quotient group related to the direct product group?
55441
Check: For the integers $a,b,c$ show that $\gcd(a,bc)=\gcd(a,\gcd(a,b)\cdot c)$
118727
$g(x+y)+g(x)g(y)=g(xy)+g(x)+g(y)$ for all $x,y$.
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
158074
Cyclic group $G$ with generator $ab$.
129653
Solving a polynomial with grouping
30676
$G'$ and the product of all the elements in an odd order group
23517
Presentation $\langle x,y,z\mid xyx^{-1}y^{-2},yzy^{-1}z^{-2},zxz^{-1}x^{-2}\rangle$ of group equal to trivial group