residually nilpotent group

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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

• 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

• Parafree group — In mathematics, in the realm of group theory, a group is said to be parafree if its quotients by the terms of its lower central series are the same as those of a free group and if it is residually nilpotent (the intersection of the terms of its… …   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

• Central series — In mathematics, especially in the fields of group theory and Lie theory, a central series is a kind of normal series of subgroups or Lie subalgebras, expressing the idea that the commutator is nearly trivial. For groups, this is an explicit… …   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

• Olga Kharlampovich — is a Canadian mathematician working in the area of group theory. She is a Professor of Mathematics at McGill University, Montreal, Canada, where she has been working since 1990. She is mostly known for her example of a finitely presented 3 step… …   Wikipedia