单词 | Free Group |
释义 | Free GroupThe generators of a group are defined to be the smallest subset of group elements such that all other elements of can be obtained from them and their inverses. A Group is a free group if no relation exists between itsgenerators (other than the relationship between an element and its inverse required as one of the defining properties ofa group). For example, the additive group of whole numbers is free with a single generator, 1. See also Free Semigroup |
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