consider : R* → R+, q(x) = x² R✶ is the group of non-zero real numbers with respect to multiplication. R+ is the group of positive real numbers with respect to multiplication. Write a factor group of R* that is isomorphic to R+. Write a reason for your answer.
consider : R* → R+, q(x) = x² R✶ is the group of non-zero real numbers with respect to multiplication. R+ is the group of positive real numbers with respect to multiplication. Write a factor group of R* that is isomorphic to R+. Write a reason for your answer.
ChapterP: Prerequisites
Section: Chapter Questions
Problem 3T
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Transcribed Image Text:consider : R* → R+, q(x) = x²
R✶ is the group of non-zero real numbers with respect
to multiplication.
R+ is the group of positive real numbers with respect
to multiplication.
Write a factor group of R* that is isomorphic to R+.
Write a reason for your answer.
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