quotient divisible group

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• Divisible group — In mathematics, especially in the field of group theory, a divisible group is an abelian group in which every element can, in some sense, be divided by positive integers, or more accurately, every element is an nth multiple for each positive… …   Wikipedia

• Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   Wikipedia

• Quotient module — In abstract algebra, a branch of mathematics, given a module and a submodule, one can construct their quotient module. This construction, described below, is analogous to how one obtains the ring of integers modulo an integer n , see modular… …   Wikipedia

• Group homomorphism — In mathematics, given two groups ( G , *) and ( H , ·), a group homomorphism from ( G , *) to ( H , ·) is a function h : G → H such that for all u and v in G it holds that: h(u*v) = h(u) h(v) where the group operation on the left hand side of the …   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

• Groupe divisible — En mathématiques, et plus particulièrement en théorie des groupes, un groupe abélien divisible est un groupe abélien G tel que, pour tout nombre naturel , on ait (en notation additive) G = nG. Ceci revient à dire que pour tout élément x de G et… …   Wikipédia en Français

• Circle group — For the jazz group, see Circle (jazz band). Lie groups …   Wikipedia

• Cotorsion group — In mathematics, in the realm of abelian group theory, an abelian group is said to be cotorsion if every extension of it by a torsion free group splits. If the group is C, this is equivalent to asserting that Ext(G,C) = 0 for all torsion free… …   Wikipedia

• List of group theory topics — Contents 1 Structures and operations 2 Basic properties of groups 2.1 Group homomorphisms 3 Basic types of groups …   Wikipedia

• Conway group — Group theory Group theory …   Wikipedia

• Cyclic group — Group theory Group theory …   Wikipedia