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...
- (Ab), has abelian groups as objects and group homomorphisms as morphisms Metabelian group, a group where the commutator subgroup is abelian Abelianisation...
- 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...
- Pre-abelian category Quasi-abelian category Abelian group Abelianization Metabelian group Non-abelian group Abelian extension Abelian integral Abelian surface...
- {\displaystyle G/N} is also cyclic. Metacyclic groups are both supersolvable and metabelian. Any cyclic group is metacyclic. The direct product or semidirect product...
- homomorphic image of a T-group is a T-group. Every solvable T-group is metabelian. The solvable T-groups were characterized by Wolfgang Gaschütz as being...
- Bachmuth, S.; Mochizuki, H. Y. (1967). "Automorphisms of a class of metabelian groups. II". Transactions of the American Mathematical Society. 127 (2):...
- operations research Institutions University of Michigan Rice University Thesis Metabelian groups and trilinear forms Doctoral advisor Henry Roy Brahana Doctoral...
- October 1972 in Dennis, M****achusetts) was a mathematician, specializing in metabelian groups and related geometric structures. H. Roy Brahana received his PhD...
- Retrieved 8 April 2017. McBay, Shirley (1966). The Homology Theory of Metabelian Lie Algebras. Athens, GA: University of Georgia. Jones, Eleanor Green...