infinite-dimensional group
41Crisis on Infinite Earths — Cover to Crisis on Infinite Earths #1. Art by George Pérez. Publication information Publisher DC …
42Simple Lie group — Lie groups …
43Discrete group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …
44Complex reflection group — In mathematics, a complex reflection group is a group acting on a finite dimensional complex vector space, that is generated by complex reflections: non trivial elements that fix a complex hyperplane in space pointwise. (Complex reflections are… …
45Unitary group — In mathematics, the unitary group of degree n , denoted U( n ), is the group of n times; n unitary matrices, with the group operation that of matrix multiplication. The unitary group is a subgroup of the general linear group GL( n , C).In the… …
46History of group theory — The history of group theory, a mathematical domain studying groups in their various forms, has evolved in various parallel threads. There are three historical roots of group theory: the theory of algebraic equations, number theory and geometry.… …
47Clustering high-dimensional data — is the cluster analysis of data with anywhere from a few dozen to many thousands of dimensions. Such high dimensional data spaces are often encountered in areas such as medicine, where DNA microarray technology can produce a large number of… …
48Crystallographic point group — In crystallography, a crystallographic point group is a set of symmetry operations, like rotations or reflections, that leave a central point fixed while moving other directions and faces of the crystal to the positions of features of the same… …
49Stable group — For stable groups in homotopy theory see stable homotopy group or direct limit of groups. In model theory, a stable group is a group that is stable in the sense of stability theory. An important class of examples is provided by groups of finite… …
50carbon group element — ▪ chemical elements Introduction any of the five chemical elements that make up Group 14 (IVa) of the periodic table namely, carbon (C), silicon (Si), germanium (Ge), tin (Sn), and lead ( …
