Dictionary of automotive terms. 2015.
Quotient group — In mathematics, given a group G and a normal subgroup N of G , the quotient group, or factor group, of G over N is intuitively a group that collapses the normal subgroup N to the identity element. The quotient group is written G / N and is… … Wikipedia
quotient group — noun : a group whose elements are the cosets of a normal subgroup of a given group called also factor group * * * Math. a group, the elements of which are cosets with respect to a normal subgroup of a given group. Also called factor group. [1890… … Useful english dictionary
quotient group — noun Date: 1893 a group whose elements are the cosets of a normal subgroup of a given group called also factor group … New Collegiate Dictionary
quotient group — Math. a group, the elements of which are cosets with respect to a normal subgroup of a given group. Also called factor group. [1890 95] * * * … Universalium
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
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
Quotient ring — In mathematics a quotient ring, also known as factor ring or residue class ring, is a construction in ring theory, quite similar to the factor groups of group theory and the quotient spaces of linear algebra. One starts with a ring R and a two… … Wikipedia
Quotient space — In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or gluing together certain points of a given space. The points to be identified are specified … Wikipedia
Quotient category — In mathematics, a quotient category is a category obtained from another one by identifying sets of morphisms. The notion is similar to that of a quotient group or quotient space, but in the categorical setting.DefinitionLet C be a category. A… … Wikipedia
Group extension — In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group. If Q and N are two groups, then G is an extension of Q by N if there is a short exact sequence:1 ightarrow N… … Wikipedia
