Given that A and B is a group. Find out if þ: A→B is a homomorphism. If it is a homomorphism, also find out if it is an isomorphism. a.) A = B = (R*, and define : A→B by (x) = x", such that n is a positive integer.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.5: Isomorphisms
Problem 38E
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Given that A and B is a group. Find out if þ: A→B is a homomorphism. If it is a homomorphism, also
find out if it is an isomorphism.
a.) A = B = (R*
and define : A→B by (x) = x", such that n is a positive integer.
2
Transcribed Image Text:Given that A and B is a group. Find out if þ: A→B is a homomorphism. If it is a homomorphism, also find out if it is an isomorphism. a.) A = B = (R* and define : A→B by (x) = x", such that n is a positive integer. 2
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