- non-commutative group
- некоммутативная группа
Большой англо-русский и русско-английский словарь. 2001.
non-commutative group
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Non-abelian group — In mathematics, a non abelian group, also sometimes called a non commutative group, is a group (G, * ) in which there are at least two elements a and b of G such that a * b ≠ b * a.[1][2] The term non abelian is … Wikipedia
Non-commutative harmonic analysis — In mathematics, non commutative harmonic analysis is the field in which results from Fourier analysis are extended to topological groups which are not commutative. Since for locally compact abelian groups have a well understood theory, Pontryagin … Wikipedia
Group ring — This page discusses the algebraic group ring of a discrete group; for the case of a topological group see group algebra, and for a general group see Group Hopf algebra. In algebra, a group ring is a free module and at the same time a ring,… … Wikipedia
Non-abelian — may describe: Non abelian group, in mathematics, a group that is not abelian (commutative) Non abelian gauge theory, in physics, a gauge group that is non abelian This disambiguation page lists mathematics articles associated with the same title … Wikipedia
Commutative property — For other uses, see Commute (disambiguation). In mathematics an operation is commutative if changing the order of the operands does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs… … Wikipedia
Non-abelian gauge transformation — In theoretical physics, a non abelian gauge transformation means a gauge transformation taking values in some group G, the elements of which do not obey the commutative law when they are multiplied. The original choice of G in the physics of… … Wikipedia
Abelian group — For other uses, see Abelian (disambiguation). Abelian group is also an archaic name for the symplectic group Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product,… … Wikipedia
Nonabelian group — In mathematics, a nonabelian group, also sometimes called a non commutative group, is a group ( G , * ) such that there are at least two elements a and b of G such that a * b ne; b * a . The term non abelian is used to distinguish from the idea… … Wikipedia
General linear group — Group theory Group theory … Wikipedia
Commutative ring — In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Some specific kinds of commutative rings are given with … 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
