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)

    “And seniors grow tomorrow
    From the juniors today,
    And even swimming groups can fade,
    Games mistresses turn grey.”
    —Philip Larkin (1922–1986)