Group Homomorphism and Isomorphism

Dinesh Khattar () and Neha Agrawal ()
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Dinesh Khattar: University of Delhi, Department of Mathematics
Neha Agrawal: University of Delhi, Department of Mathematics

Chapter Chapter 7 in Group Theory, 2023, pp 195-221 from Springer

Abstract: Abstract We introduce the notion of homomorphism of groups as a map between two groups which respects the group structure so that we may establish relationship between various groups. These mappings are of great interest and importance. In fact they are as essential to group theory as continuous functions are to topology. Etymologically the word homomorphism can be traced to the Greek roots “homo” and “morph” together mean “same shape”.

Date: 2023
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DOI: 10.1007/978-3-031-21307-6_7

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