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ISI-2017-28 [closed]

+1 vote
137 views

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
in Mathematical Logic by Active (1.4k points)
closed by | 137 views

1 Answer

0 votes
Let H be a any subset of G

N be a natural subset

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

(D)
by Active (1.4k points)

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