Question

Is H1 Intersection H2 Subgroup of Z15​

Answer 1

Answer:

Theorem 1 Let H1 and H2 be subgroups of a group G. Then the intersection H1 ∩ H2 is also a subgroup of G. Proof: The identity element e of G belongs to every subgroup. Hence e ∈ H1 ∩ H2.

Step-by-step explanation:

$Theorem 1 Let H1 and H2 be subgroups of a group G. Then the intersection H1 ∩ H2 is also a subgroup of G. Proof: The identity element e of G belongs to every subgroup. Hence e ∈ H1 ∩ H2.$