Answer to Question #218545 in Abstract Algebra for Rabia qadeer

Question #218545

Let G be the set of positive real numbers except 1. Deﬁne α∗β = αnβ. Then:

(a) show that (G,∗) is a group.

(b) Is G abelian? if not, ﬁnd its center.

(c) Give an automorphism of G.

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