Question

Intersection of 2 subgroups of a group
(G, *) is
(A) a subgroup of G
(B) group but not a subgroup of G
(C) not a subgroup of G
(D) none of these​

Answer 1

Answer:

Intersection of 2 subgroups of a group  G is a subgroup of G.

Step-by-step explanation:

Let say group G contains two subgroups X & Y.

Then, their intersection is also part of group G, so it should also be a subgroup of G.

Answer 2

HELLO DEAR,

Option (A) a subgroup of G

Let A and B be the subgroup of G.

It's mean subgoup A € G and subgroup B € G.

So, there are two condition arises,

i) If A intersection B is not ¢ ,then it a subgroup of G because that subgroup belongs to G.

ii) If A intesection B is ¢ ,then ¢ also belong to G.Therefore it also a subgroup of G.

I HOPE IT'S HELP YOU DEAR,

THANKS.