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Question 4 Show that R* x R* is not isomorphic to C*. (R* is R\ {0}, and C* is C\{0}. In both cases, the group operation is multiplication.)

Question 4 Show that R* x R* is not isomorphic to C*. (R* is R\ {0}, and C* is C\{0}. In both cases, the group operation is multiplication.)

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers
Problem 10E
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Question 4 Show that R* × R* is not isomorphic to C*. (R* is R\ {0}, and C* is C\{0}. In both cases, the group operation is multiplication.)
Transcribed Image Text:Question 4 Show that R* × R* is not isomorphic to C*. (R* is R\ {0}, and C* is C\{0}. In both cases, the group operation is multiplication.)
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