+1 vote
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Let $H$ be a subgroup of a group $G$ and let $N$ be a normal subgroup of $G$. Choose the correct statement:

1. $H \cap N$ is a normal subgroup of both $H$ and $N$
2. $H \cap N$ is a normal subgroup of $H$ but not necessarily of $N$
3. $H \cap N$ is a normal subgroup of $N$ but not necessarily of $H$
4. $H \cap N$ need not be a normal subgroup of either $H$ and $N$
closed as a duplicate of: ISI2017-MMA-28
closed | 134 views

Let H be a any subset of G

N be a natural subset

H  intersection N={H} it is not a natural subset

(D)

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