Definition of Metabelian. Meaning of Metabelian. Synonyms of Metabelian

Here you will find one or more explanations in English for the word Metabelian. Also in the bottom left of the page several parts of wikipedia pages related to the word Metabelian and, of course, Metabelian synonyms and on the right images related to the word Metabelian.

Definition of Metabelian

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Meaning of Metabelian from wikipedia

- abelian. Subgroups of metabelian groups are metabelian, as are images of metabelian groups over group homomorphisms. Metabelian groups are solvable. In...
- finitely many parametrized presentations. Every group of order p5 is metabelian. The trivial group is the only group of order one, and the cyclic group...
- operations research Institutions University of Michigan Rice University Thesis Metabelian groups and trilinear forms Doctoral advisor Henry Roy Brahana Doctoral...
- (Ab), has abelian groups as objects and group homomorphisms as morphisms Metabelian group, a group where the commutator subgroup is abelian Abelianisation...
- {\displaystyle G/N} is also cyclic. Metacyclic groups are both supersolvable and metabelian. Any cyclic group is metacyclic. The direct product or semidirect product...
- Pre-abelian category Quasi-abelian category Abelian group Abelianization Metabelian group Non-abelian group Abelian extension Abelian integral Abelian surface...
- black discs denote metabelian 3-groups where even the maximal subgroups are non-abelian, a feature which does not occur for the metabelian 2-groups in Figure...
- Bachmuth, S.; Mochizuki, H. Y. (1967). "Automorphisms of a class of metabelian groups. II". Transactions of the American Mathematical Society. 127 (2):...
- explicitly point out that the first component of the TTT of non-metabelian groups or metabelian groups, represented by vertices of depth 2 {\displaystyle 2}...
- Retrieved 8 April 2017. McBay, Shirley (1966). The Homology Theory of Metabelian Lie Algebras. Athens, GA: University of Georgia. Jones, Eleanor Green...