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Algebra mcqs tests 06

Algebra MCQs Test 03

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1. An endomorphism \phi :G\rightarrow G is said to be automorphism if \phi is

 
 
 
 

2. If \Psi: A\rightarrow B be a function and for a \in A,b \in B\,\ ,\Psi(a)\neq \Psi (b)\,\ for \,\ a \neq b then function is known as

 
 
 
 

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

 
 
 
 

4. 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

 
 
 
 

5.

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

 
 
 
 

6. Every group of order prime is

 
 
 
 

7. Let H be a subgroup of G and for fixed element of G then we define K=hgh^{-1}=\left \{ghg^{-1}: h\in H \right \} then K is

 
 
 
 

8. If H is a normal subgroup of G then

 
 
 
 

9. A homomorphic image of cyclic group is

 
 
 
 

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

 
 
 
 

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