metabelian

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  • Metabelian group — In mathematics, a metabelian group is a group whose commutator subgroup is abelian. Equivalently, a group G is metabelian if and only if there is an abelian normal subgroup A such that the quotient group G/A is abelian. Subgroups of metabelian… …   Wikipedia

  • Abelian — Abelian, in mathematics, is used in many different definitions, named after Norwegian mathematician Niels Henrik Abel:In group theory:*Abelian group, a group in which the binary operation is commutative **Category of abelian groups Ab has abelian …   Wikipedia

  • List of Doctor Who planets — This is a list of planets, fictional or otherwise, that are mentioned in the British science fiction television series Doctor Who and its spinoff literature. : Top   0–9 A B C D E F G H I J K L M N O P Q R S T U V W …   Wikipedia

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

  • Class formation — In mathematics, a class formation is a structure used to organize the various Galois groups and modules that appear in class field theory. They were invented by Emil Artin and John Tate. Contents 1 Definitions 2 Examples of class formations 3 The …   Wikipedia

  • Metacyclic group — In group theory, a metacyclic group is an extension of a cyclic group by a cyclic group. That is, it is a group G for which there is a short exact sequence where H and K are cyclic. Equivalently, a metacyclic group is a group G having a cyclic… …   Wikipedia

  • T-group (mathematics) — In mathematics, in the field of group theory, a T group is a group in which the property of normality is transitive, that is, every subnormal subgroup is normal. Here are some facts about T groups:*Every abelian group and every Hamiltonian group… …   Wikipedia

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