subgroup of Cartesian product

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• 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

• 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

• 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

• 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

• 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

• Free product — In abstract algebra, the free product of groups constructs a group from two or more given ones. Given, for example, groups G and H , the free product G*H can be constructed as follows: given presentations of G and of H , take the generators of G… …   Wikipedia

• List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

• List of mathematical symbols — This is a listing of common symbols found within all branches of mathematics. Each symbol is listed in both HTML, which depends on appropriate fonts being installed, and in TeX, as an image. This list is incomplete; you can help by expanding it.… …   Wikipedia

• Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… …   Wikipedia

• Torus — Not to be confused with Taurus (disambiguation). This article is about the surface and mathematical concept of a torus. For other uses, see Torus (disambiguation). A torus As the distance to th …   Wikipedia

• Principal bundle — In mathematics, a principal bundle is a mathematical object which formalizes some of the essential features of a Cartesian product X times; G of a space X with a group G . Analogous to the Cartesian product, a principal bundle P is equipped with… …   Wikipedia