Let $G=\{x,y│x^4=y^4=e,xyxy^{-1}=e\}.$
37414
Question on Groups $G=\langle x,y|x^4=y^4=e,xyxy^{-1}=e\rangle$
51145
Is it possible to prove $g^{|G|}=e$ in all finite groups without talking about cosets?
105910
How to prove that $[G:xHx^{-1}] = [G:H]$ given $H \le G$?
125274
For $x+y=1$, show that $x^4+y^4\ge \frac{1}{8}$
62455
Prove Equivalence Relation in G
16948
Need help with a proof that if $xy=0$ then $x=0$ or $y=0$
38849
Solve $x^y \, = \, y^x$
69172
$y'=$ ${-x+\sqrt{(x^2+4y)}}\over 2$ , $y(2)=-1$
45760
if G is generated by {a,b} and ab=ba, then prove G is Abelian
95913
Solve for $x$: $2^x=4x$
102777
Is $G^{(X, Y)} = (G^X)^Y?$ ($A^B$ just means that $B$ is mapped to $A$)
130854
Constructing example showing $\mathbb{E}(X^{-1})=(\mathbb{E}(X))^{-1}$
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
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
66457
Series expansion of $xy'=y$
12102
particular solution to $y^{(4)} -2y'' +y = xe^x $ using undetermined coefficients
135188
Show that if $\vert G\vert = pq$, then either $G$ is abelian or $Z(G) = \{ e\}$.