Algebra MCQs Test 05

1. If H is a normal subgroup of G then

2. If  be a function and for  then function is known as

3. Let H be a subgroup of G and for fixed element of G then we define  then K is

4. An endomorphism  is said to be automorphism if  is

5. Let H and G be the two groups and H⊆G then

6. A homomorphic image of cyclic group is

7. Let (Z,+) and (E,+) be the groups of integers and even numbers with mappings F:Z→E s.t f(x)=2x for all x∈ Z then function  f is known as

8. Every group of order square of prime number is known as

9.

Subgroup G generated by all commutators [u, v] such that u,v∈G then it is known as

10. Every group of order prime is