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Let $A$ and $B$ be two groups. Show that set $N$ = { $(a,1): a \in A$ } is the normal subgroup of $A$ x $B$ and
that the $A$ x $B$ $/ N$ quotient group is isomorph to $B$.

if you help me, i'll be exulted.

Let $A$ and $B$ be two groups. Show that set $N$ = { $(a,1): a \in A$ } is the normal subgroup of $A$ x $B$ and
that the $A$ x $B$ $/ N$ quotient group is isomorph to $B$.

if you help me, i'll be exulted.