Section 1
A
$1 a x b=c$
x^{2} b=x a^{-1} c$
x^{2} a=b x c^{-1} \quad$ and $\quad a c x=x a c$
a x^{2}=b \quad$ and $\quad x^{3}=e$
x^{2}=a^{2} \quad$ and $\quad x^{5}=e$
(x a x)^{3}=b x \quad$ and $\quad x^{2} a=(x a)^{-1}$