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Fundamental theorem on homomorphisms

 Home Mathematics Fields of mathematics Algebra Abstract algebra Theorems in abstract algebra
 1 By others on same topic  0 Discussions  1970-01-01  See my version
The Fundamental Theorem on Homomorphisms, often referred to in the context of group theory or algebra in general, states that there is a specific relationship between a group, a normal subgroup, and the quotient group formed by the subgroup. In summary, it describes how to relate the structure of a group to its quotient by a normal subgroup.

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 Articles by others on the same topic (1)

Fundamental theorem on homomorphisms by Ciro Santilli 37  Updated 2025-06-17  +Created 1970-01-01
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Ultimate explanation by Ciro Santilli: math.stackexchange.com/questions/776039/intuition-behind-normal-subgroups/3732426#3732426
Links group homomorphism and the quotient group via normal subgroups.
Figure 1. Source.
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