General linear group — Group theory Group theory … Wikipedia
Linear group — In mathematics, a matrix group is a group G consisting of invertible matrices over some field K , usually fixed in advance, with operations of matrix multiplication and inversion. More generally, one can consider n times; n matrices over a… … Wikipedia
Special linear group — In mathematics, the special linear group of degree n over a field F is the set of n times; n matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion.This is the normal subgroup of the general… … Wikipedia
Projective linear group — In mathematics, especially in area of algebra called group theory, the projective linear group (also known as the projective general linear group) is one of the fundamental groups of study, part of the so called classical groups. The projective… … Wikipedia
complete linear group — pilnutinė tiesinė grupė statusas T sritis fizika atitikmenys: angl. complete linear group; full linear group; general linear group vok. volle lineare Gruppe, f rus. полная линейная группа, f pranc. groupe linéaire complet, m; groupe linéaire… … Fizikos terminų žodynas
full linear group — pilnutinė tiesinė grupė statusas T sritis fizika atitikmenys: angl. complete linear group; full linear group; general linear group vok. volle lineare Gruppe, f rus. полная линейная группа, f pranc. groupe linéaire complet, m; groupe linéaire… … Fizikos terminų žodynas
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia
Group representation — In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group… … Wikipedia
Group of Lie type — In mathematics, a group of Lie type G(k) is a (not necessarily finite) group of rational points of a reductive linear algebraic group G with values in the field k. Finite groups of Lie type form the bulk of nonabelian finite simple groups.… … Wikipedia
Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… … Wikipedia