- semidirect product
- мат. полупрямое произведение
Большой англо-русский и русско-английский словарь. 2001.
semidirect product
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Semidirect product — In mathematics, especially in the area of abstract algebra known as group theory, a semidirect product is a particular way in which a group can be put together from two subgroups, one of which is a normal subgroup. A semidirect product is a… … Wikipedia
Product of group subsets — In mathematics, one can define a product of group subsets in a natural way. If S and T are subsets of a group G then their product is the subset of G defined by:ST = {st : s in S mbox{ and } tin T}Note that S and T need not be subgroups. The… … Wikipedia
Product of groups — In mathematics, a product of groups usually refers to a direct product of groups, but may also mean: *semidirect product *product of subgroups *wreath product *free product … Wikipedia
semidirect — adjective Describing a Cartesian product associated with a particular multiplication operation … Wiktionary
Direct product of groups — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product … Wikipedia
Wreath product — In mathematics, the wreath product of group theory is a specialized product of two groups, based on a semidirect product. Wreath products are an important tool in the classification of permutation groups and also provide a way of constructing… … Wikipedia
Crossed product — In mathematics, and more specifically in the theory of von Neumann algebras, a crossed product is a basic method of constructing a new von Neumann algebra from a von Neumann algebra acted on by a group. It is related to the semidirect product… … Wikipedia
Zappa-Szép product — In mathematics, especially group theory, the Zappa Szep product (also known as the knit product) describes a way in which a group can be constructed from two subgroups. It is a generalization of the direct and semidirect products.Internal Zappa… … Wikipedia
Direct product — In mathematics, one can often define a direct product of objects already known, giving a new one. This is generally the Cartesian product of the underlying sets, together with a suitably defined structure on the product set. More abstractly, one… … Wikipedia
Bianchi classification — In mathematics, the Bianchi classification, named for Luigi Bianchi, is a classification of the 3 dimensional real Lie algebras into 11 classes, 9 of which are single groups and two of which have a continuum of isomorphism classes. (Sometimes two … Wikipedia
General linear group — Group theory Group theory … Wikipedia
