Let R* be the multiplicative group of all nonzero real numbers and T= {1, -1} a subgroup of R*. Prove that the quotient group R*/T is isomorphic with the multiplicative group R+ of all positive real numbers Please solve the chapter structural algebra with the step and no reject thank u. Im needed in 60 minutes

Let R* be the multiplicative group of all nonzero real numbers and T= {1, -1} a subgroup of R. Prove that the quotient group R/T is isomorphic with the multiplicative group R+ of all positive real numbers Please solve the chapter structural algebra with the step and no reject thank u. Im needed in 60 minutes

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.5: Isomorphisms

Problem 12E: Exercises 12. Prove that the additive group of real numbers is isomorphic to the multiplicative...

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