Group Homomorphism - The Category of Groups

The Category of Groups

If and are group homomorphisms, then so is . This shows that the class (in a sense of category theory) of all groups, together with group homomorphisms as morphisms, forms a category.

Read more about this topic:  Group Homomorphism

Famous quotes containing the words category and/or groups:

    “I see no reason for calling my work poetry except that there is no other category in which to put it.”
    —Marianne Moore (1887–1972)

    “The awareness of the all-surpassing importance of social groups is now general property in America.”
    —Johan Huizinga (1872–1945)