a) b) may you PLEASE answer questions a & b please in less then 40 minutes I'll 👍 if it's early thanks

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a)

A B May You Please Answer Questions A B Please In Less Then 40 Minutes I Ll If It S Early Thanks 1 (123.65 KiB) Viewed 65 times

b)

A B May You Please Answer Questions A B Please In Less Then 40 Minutes I Ll If It S Early Thanks 2 (100.2 KiB) Viewed 65 times

may you PLEASE answer questions a & b please in less then 40 minutes I'll if it's early thanks
This is a question on isomorphisms. Let G be the alternating group A3 under composition, and с the group Z3 under addition modulo 3. The mapping :CC is defined by (E)= 0, ((123)) = 1, ((132)) = 2, Which of the following statements is true? O is an isomorphism because it is 1-to-1, onto and operation preserving is 1-to-1 and onto, but it is not operation preserving O O is operation preserving and onto, but it is not 1-to-1 O is neither operation preserving, nor 1-to-1, nor onto.
This is a question on isomorphisms and generators. Let O: GG be an isomorphism, where G is the group Z4 under addition modulo 4, and G is the group { Ro, R90, R180, R270) of rotations of a square under composition One of the following statements is false for all such isomorphisms 0. Which one? O (2) = Rgo O (0)=RO O 0(1) = R270 O 0(1)=R90