torsion group
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torsion group — Math. a group in which every element has finite order. * * * … Universalium
torsion group — Math. a group in which every element has finite order … Useful english dictionary
Torsion subgroup — In the theory of abelian groups, the torsion subgroup AT of an abelian group A is the subgroup of A consisting of all elements that have finite order. An abelian group A is called a torsion (or periodic) group if every element of A has finite… … Wikipedia
Torsion (algebra) — In abstract algebra, the term torsion refers to a number of concepts related to elements of finite order in groups and to the failure of modules to be free. Definition Let G be a group. An element g of G is called a torsion element if g has… … Wikipedia
Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… … Wikipedia
Torsion field (pseudoscience) — For other notions of torsion, see Torsion field and Torsion. Torsion field (pseudoscience) Claims Spin spin interaction can be transmitted through space at speeds of at least up to 109 times the speed of light via a special kind of field, making… … Wikipedia
Torsion field — Infobox Pseudoscience topics=Physics claims=Spin spin interaction can be transmitted through space at speeds of at least up to 109 the speed of light via a special kind of field, making possible FTL travel, ESP, homeopathy, levitation, and other… … Wikipedia
Torsion-free abelian groups of rank 1 — Infinitely generated abelian groups have very complex structure and are far less well understood than finitely generated abelian groups. Even torsion free abelian groups are vastly more varied in their characteristics than vector spaces. Torsion… … Wikipedia
Group cohomology — This article is about homology and cohomology of a group. For homology or cohomology groups of a space or other object, see Homology (mathematics). In abstract algebra, homological algebra, algebraic topology and algebraic number theory, as well… … 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
Torsion-free — In mathematics, the term torsion free may refer to several unrelated notions: * In abstract algebra, a group is torsion free if the only element of finite order is the identity. * In differential geometry, an affine connection is torsion free if… … Wikipedia
