- free group
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A group (set with a particular kind of binary operation) that has a presentation without relators; equivalently, a free product of some number of copies of ℤ.
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free group
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Free group — In mathematics, a group G is called free if there is a subset S of G such that any element of G can be written in one and only one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st 1 =… … Wikipedia
Free — may refer to: Free will Political freedom Economic freedom Something given or supplied without payment (gratis) Gratis versus Libre, the distinction between the two meanings above Free may also refer to: Contents 1 Arts and philosophy … Wikipedia
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Free object — In mathematics, the idea of a free object is one of the basic concepts of abstract algebra. It is a part of universal algebra, in the sense that it relates to all types of algebraic structure (with finitary operations). It also has a clean… … Wikipedia
Group ring — This page discusses the algebraic group ring of a discrete group; for the case of a topological group see group algebra, and for a general group see Group Hopf algebra. In algebra, a group ring is a free module and at the same time a ring,… … Wikipedia
