How many different homomorphisms are there of a free group of rank 2 onto a. Z 4

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How many different homomorphisms are there of a free group of rank 2 onto

a. Z₄?

b. Z₆?

c. S₃?

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 09, 2023 08:35 AM

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How many different homomorphisms are there of a free group of rank 2 onto a. Z 4

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a Let the free group have generators x and y By Theorem 3912 x and y can be mapped into any elements to give a homomorphism The homomorphism will be o...View the full answer

A First Course In Abstract Algebra

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