Science Fair Project Encyclopedia
Category of groups
In mathematics, the category Grp has the class of all groups for objects and group homomorphisms for morphisms. As such, it is a concrete category. The study of this category is known as group theory.
The category Grp is both complete and co-complete. The product is just the direct product while the coproduct is the free product. The zero objects in Grp are the trivial groups (consisting of just an identity element).
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