Set Theory and Algebra MCQ

1:

A subset H of a group(G,*) is a group if 

A.

a,b ∈ H  a * b ∈ H

B.

a ∈ Ha-1 ∈ H

C.

a,b ∈ H  ⇒ a * b-1 ∈ H

D.

H contains the identity element

 

Answer : C

Explanation :

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Option: A

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