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9 Comments
Goltikree 29.11.2019 at 10:12 pm
The group G is said to act on X (from the left). A set X together with an action of G is called a (left) G-set. From these two axioms, it follows that for any fixed g in G, the function from X to itself which maps x to g ⋅ x is a bijection, with inverse bijection the corresponding map for g −1.