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).
The category of abelian groups, Ab, is a full subcategory of Grp.
Last updated: 10-23-2005 11:01:17
03-10-2013 05:06:04
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details