Category:Product Inverse Operation
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This category contains results about Product Inverse Operation.
Let $\struct {G, \circ}$ be a group whose identity is $e$.
Let $\oplus: G \times G \to G$ be the operation on $G$ defined as:
- $\forall a, b \in G: a \oplus b := a \circ b^{-1}$
where $b^{-1}$ denotes the inverse of $b$ in $G$.
Then $\oplus$ is the product inverse (of $\circ$) on $G$.
Pages in category "Product Inverse Operation"
The following 11 pages are in this category, out of 11 total.
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- Product Inverse Operation is Self-Inverse
- Product Inverse Operation Properties
- Product Inverse Operation Properties induce Group
- Product Inverse Operation Properties/Lemma 1
- Product Inverse Operation Properties/Lemma 2
- Product Inverse Operation Properties/Lemma 3
- Product Inverse Operation Properties/Lemma 4
- Product Inverse Operation Properties/Lemma 5