# Answer to Question #45230 in Abstract Algebra for anjali singh

Question #45230

a) Use the Fundamental Theorem of Homomorphism to prove that Z/12~ (g) iff g is an

element of order 12 in a group (G; ). (7)

b) Obtain two distinct elements of Z/7Z, and two distinct subgroups of Z/7Z. (

element of order 12 in a group (G; ). (7)

b) Obtain two distinct elements of Z/7Z, and two distinct subgroups of Z/7Z. (

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