DM-Groups and Lattice-Q6

Let $g,h,x,y \in G$ be given. It is given that $x*g=h, y*g=h.$

$\text{I. }x=y$

$\text{II. }x*x*x = y*y*y$

$\text{III. }{x*y*x = y*x*y }$

(A).Only $\text{I }$

(B).Only $\text{I }$ $\text{I }$

(C).Only $\text{I }$ and $\text{I }$ $\text{I }$ $\text{I }$

(D).All of $\text{I }$ , $\text{I }$ $\text{I }$ and $\text{I }$ $\text{I }$ $\text{I }$

asked Jul 8 in Discrete Maths by gbeditor (10,700 points)
reshown Jul 9 by gbeditor

1 Answer

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