Question

prove that the center of group Z(G) is subgroup of group​

Answer 1

Answer:

10 points)Prove that the center Z(G) of a group G is a normalsubgroup of G. Solution: Z(G) is the subgroup of Gconsisting of all elements that commute with every element of G. Let z be any element of the center, and letg be any element of G, Then, gz = zg.