Direct product of groups

In mathematics, specifically in group theory, the direct product is an operation that takes two groups G and H and constructs a new group, usually denoted G × H. This operation is the group-theoretic analogue of the Cartesian product of sets and is one of several important notions of direct product in mathematics. In the context of abelian groups, the direct product is sometimes referred to as the direct sum, and is denoted G ⊕ H {\displaystyle G\oplus H} .

Source: Wikipedia — Direct product of groups (CC BY-SA 4.0)

Direct product of groups

In mathematics, specifically in group theory, the direct product is an operation that takes two groups G and H and constructs a new group, usually denoted G × H. This operation is the group-theoretic analogue of the Cartesian product of sets and is one of several important notions of direct product in mathematics. In the context of abelian groups, the direct product is sometimes referred to as the direct sum, and is denoted G ⊕ H {\displaystyle G\oplus H} .

This neuron ends here.

Source: Wikipedia "Direct product of groups" · CC BY-SA 4.0

Share this article: X · Bluesky
Privacy Policy