group extension
1Group 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… …
2Extension (mathematics) — In mathematics, the word extension has many uses. See:Analysis* Carathéodory s extension theorem * Continuous linear extension * M. Riesz extension theorem * Krein extension theorem * Hahn Banach theoremAlgebra* Abelian extension * Algebraic… …
3Group scheme — In mathematics, a group scheme is a group object in the category of schemes. That is, it is a scheme G with the equivalent properties* there is a group law expressible as a multiplication μ and inversion map ι on G ; or * G is a functor (as in… …
4Group 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… …
5Group 6 element — Group → 6 ↓ Period 4 24 Cr 5 …
6Group 10 element — Group 10 redirects here. For the rugby league competition, see Group 10 Rugby League. Group → 4 ↓ Period 4 …
7Group 7 element — Group → 7 ↓ Period 4 25 Mn 5 …
8Group 11 element — Group → 11 ↓ Period 4 29 Cu 5 …
9Group 9 element — Group → 4 ↓ Period 4 27 Co 5 …
10Group 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… …
