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Chapter
Chapter
The First Isomorphism Theorem
DOI link for The First Isomorphism Theorem
The First Isomorphism Theorem book
The First Isomorphism Theorem
DOI link for The First Isomorphism Theorem
The First Isomorphism Theorem book
ByTony Barnard, Hugh Neill
Edition 1st Edition
First Published 2016
Imprint CRC Press
Pages 6
eBook ISBN 9781315405780
ABSTRACT
Suppose that f: G → H is a homomorphism of groups and also a surjection. In Chapter 17, you saw that the kernel of a homomorphism consisted of
those elements which map onto the identity element, and that the solution for x ∈ G of an equation such as f(x) = a is a coset in G. You find one element g ∈ G such that f(g) = a, and then you find the coset gK, where K = ker f.
