Group theory MOC

Category of groups

The category of groups 𝖦𝗋𝗉 is the category where each object is a group and each morphism is a group homomorphism. group

Properties

• The Initial and terminal objects are both the Trivial group {𝑒}
• The Products and coproducts are the Direct product of groups and the Free product of groups respectively
• A full subcategory is Category of abelian groups.

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