Properties of groups | Solvable groups

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 groups are metabelian, as are images of metabelian groups over group homomorphisms. Metabelian groups are solvable. In fact, they are precisely the solvable groups of derived length at most 2. (Wikipedia).

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From playlist Metauni

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Metacognition and speaking | Introduction | Part 1

In this video, I provide an overview of metacognition and discuss its role in speaking.

From playlist Metacognition

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metauni intro 2022

metauni is a community of scholars in the Metaverse, and this is our self-introduction made at the beginning of 2022. You're welcome to join in at https://metauni.org. The music in this video is Softbank Sinfonia and Hablando Solo by Lucas Cantor.

From playlist Metauni

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Nexus Trimester - Delaram Kahrobaei (City University of New York)

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From playlist Nexus Trimester - 2016 - Secrecy and Privacy Theme

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Storyboard - a bit of fun with deep learning for vision and storytelling

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From playlist Metauni

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From playlist Abstract Algebra

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metauni Day - Penrose tiles

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From playlist Metauni

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From playlist Basics: Group Theory

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Lie Groups and Lie Algebras: Lesson 39 - The Universal Covering Group

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From playlist Lie groups

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Why Are Prejudice and Conflict So Common? | Understanding the Mysteries of Human Behavior

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Lie Groups and Lie Algebras: Lesson 38 - Preparation for the concept of a Universal Covering Group

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From playlist Mathematics

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Regular permutation groups and Cayley graphs

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From playlist PRIMA2009

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On the pioneering works of Professor I.B.S. Passi by Sugandha Maheshwari

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Vincent Guirardel: Natural subgroups of automorphisms

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From playlist Algebra

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Gilbert Levitt - Vertex finiteness for relatively hyperbolic groups

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Related pages

Heisenberg group | Order (group theory) | Finite field | Lamplighter group | Index of a subgroup | Group (mathematics) | Symmetric group | Alternating group | Quotient group | Generalized dihedral group | Dihedral group | Mathematics | Field (mathematics) | Nilpotent group | Euclidean plane | Normal subgroup | Circle group | Ring (mathematics) | Euclidean group | Group homomorphism | Triangular matrix | Commutator subgroup | Solvable group | Abelian group | Commutative ring