“product group”的概念、定义、翻译、参考文献-科学参考

单词	product group
释义	product group Mathematics Given two groups (G, ∙) and (H, ∘), the product group is the Cartesian set G×H together with the group operation ∗ given by $(g_{1}, h_{1}) * (g_{2}, h_{2}) = (g_{1} \cdot g_{2}, h_{1} ° h_{2}) .$ The product G×H is abelian if and only if G and H are both abelian. G×H is also called the direct product. See also semi-direct product. Computer Another name for direct product.
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