For all humankind
Academicsubsite
ZixuanZhang
ZixuanZhang
Ponder...

Homomorphism

A homomorphism satisfies for all .

Definition 2.1 (Homomorphism)

A map between groups

is called a homomorphism if

for all .

Examples

The trivial homomorphism sends every element of to . If , the inclusion map is a homomorphism. The determinant map is a homomorphism because .

Related

Stated in