basis of group
61Cyclic group — Group theory Group theory …
621938 FIFA World Cup qualification (UEFA - Group 2/Group 3/Group 5) — Group 2The two teams in this group would play against each other on a home and away basis. The winner would qualify for the third FIFA World Cup held in France.MatchesNorway vs Irland =fb|IRL|name=Ireland= Head coach: Flagicon|IRL Joseph… …
63Free abelian group — In abstract algebra, a free abelian group is an abelian group that has a basis in the sense that every element of the group can be written in one and only one way as a finite linear combination of elements of the basis, with integer coefficients …
64Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single …
65Heisenberg group — In mathematics, the Heisenberg group, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form or its generalizations under the operation of matrix multiplication. Elements a, b, c can be taken from some… …
66Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …
67Rotation group — This article is about rotations in three dimensional Euclidean space. For rotations in four dimensional Euclidean space, see SO(4). For rotations in higher dimensions, see orthogonal group. In mechanics and geometry, the rotation group is the… …
68Orthonormal basis — In mathematics, particularly linear algebra, an orthonormal basis for inner product space V with finite dimension is a basis for V whose vectors are orthonormal.[1][2][3] For example, the standard basis for a Euclidean space Rn is an orthonormal… …
69Special unitary group — In mathematics, the special unitary group of degree n , denoted SU( n ), is the group of n times; n unitary matrices with determinant 1. The group operation is that of matrix multiplication. The special unitary group is a subgroup of the unitary… …
70Rank of a group — For the dimension of the Cartan subgroup, see Rank of a Lie group In the mathematical subject of group theory, the rank of a group G , denoted rank( G ), can refer to the smallest cardinality of a generating set for G , that is:… …
