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.
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The question in the name of Normal Subgroup and Isomorphism
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The question in the name of Normal Subgroup and Isomorphism
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.
