residually finite

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• Residually finite group — In the mathematical field of group theory, a group G is residually finite or finitely approximable if for every nontrivial element g in G there is a homomorphism h from G to a finite group, such that :h(g) eq 1.,There are a number of equivalent… …   Wikipedia

• Word problem for groups — In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a recursively presented group G is the algorithmic problem of deciding whether two words represent the same element. Although it… …   Wikipedia

• Grigorchuk group — In the mathematical area of group theory, the Grigorchuk group or the first Grigorchuk group is a finitely generated group constructed by Rostislav Grigorchuk that provided the first example of a finitely generated group of intermediate (that is …   Wikipedia

• Residual property (mathematics) — In the mathematical field of group theory, a group is residually X (where X is some property of groups) if it can be recovered from groups with property X .Formally, a group G is residually X if for every non trivial element g there is a… …   Wikipedia

• Profinite group — In mathematics, profinite groups are topological groups that are in a certain sense assembled from finite groups; they share many properties with their finite quotients. Definition Formally, a profinite group is a Hausdorff, compact, and totally… …   Wikipedia

• Polycyclic group — In mathematics, especially in the area of abstract algebra known as group theory, a polycyclic group is a solvable group that satisfies the maximal condition on subgroups (that is, every subgroup is finitely generated).Equivalently, a group G is… …   Wikipedia

• Baumslag–Solitar group — In the mathematical field of group theory, the Baumslag–Solitar groups are examples of two generator one relator groups that play an important role in combinatorial group theory and geometric group theory as (counter)examples and test cases. They …   Wikipedia

• Rostislav Grigorchuk — Rostislav Ivanovich Grigorchuk ( ru. Ростислав Иванович Григорчук)(b. February 23, 1953) is a Ukrainian mathematician working in the area of group theory. He holds the rank of Distinguished Professor in the Mathematics Department of the Texas A M …   Wikipedia

• List of mathematics articles (R) — NOTOC R R. A. Fisher Lectureship Rabdology Rabin automaton Rabin signature algorithm Rabinovich Fabrikant equations Rabinowitsch trick Racah polynomials Racah W coefficient Racetrack (game) Racks and quandles Radar chart Rademacher complexity… …   Wikipedia

• Residual (mathematics) — The word residual is used in a number of different senses in mathematics. See:* Errors and residuals in statistics * Residual (numerical analysis) ** Minimal residual method (MINRES) ** Generalized minimal residual method (GMRES) * Residual set,… …   Wikipedia

• Présentation d'un groupe — En théorie des groupes, un groupe peut se définir par une présentation autrement dit la donnée d un ensemble de générateurs et d un ensemble de relations que ceux ci vérifient. La possibilité d une telle définition découle de ce que tout groupe… …   Wikipédia en Français