In
External links
* [http://eom.springer.de/R/r077110.htm "Radical of a group"] , Encyclopaedia of Mathematics
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Radical — (from Latin radicis , genitive of radix root ) can refer to many different things and concepts.Mathematics*The symbol √ used to indicate the square root or nth root *Radical of an algebraic group, a concept in algebraic group theory *Radical of… … Wikipedia
Semisimple algebraic group — In mathematics, especially in the areas of abstract algebra and algebraic geometry studying linear algebraic groups, a semisimple algebraic group is a type of matrix group which behaves much like a semisimple Lie algebra or semisimple ring.… … 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
List of algebraic geometry topics — This is a list of algebraic geometry topics, by Wikipedia page. Contents 1 Classical topics in projective geometry 2 Algebraic curves 3 Algebraic surfaces 4 … Wikipedia
Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… … Wikipedia
group — groupwise, adv. /groohp/, n. 1. any collection or assemblage of persons or things; cluster; aggregation: a group of protesters; a remarkable group of paintings. 2. a number of persons or things ranged or considered together as being related in… … Universalium
group — [[t]grup[/t]] n. 1) any collection or assemblage of persons or things; cluster; aggregation 2) a number of persons or things ranged or considered together as being related in some way 3) chem. Also called radical 12), a) two or more atoms… … From formal English to slang
Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
Reductive group — In mathematics, a reductive group is an algebraic group G such that the unipotent radical of the identity component of G is trivial. Any semisimple algebraic group and any algebraic torus is reductive, as is any general linear group.The name… … Wikipedia
