Answer to Question #218543 in Abstract Algebra for Rabia qadeer

Question #218543

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

ln β

. 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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