Properties of groups

Superperfect group

In mathematics, in the realm of group theory, a group is said to be superperfect when its first two homology groups are trivial: H1(G, Z) = H2(G, Z) = 0. This is stronger than a perfect group, which is one whose first homology group vanishes. In more classical terms, a superperfect group is one whose abelianization and Schur multiplier both vanish; abelianization equals the first homology, while the Schur multiplier equals the second homology. (Wikipedia).

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s-Block Elements

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From playlist Chemistry

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Neural Networks for Computer Vision Workshop

To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Sebastian Bodenstein & Matteo Salvarezza Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive depl

From playlist Wolfram Technology Conference 2017

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Halogens

Watch more videos on http://www.brightstorm.com/science/chemistry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► h

From playlist Chemistry

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André JOYAL - 2/4 A crash course in topos theory : the big picture

I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti

From playlist Topos à l'IHES

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André JOYAL - 4/4 A crash course in topos theory : the big picture

I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti

From playlist Topos à l'IHES

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Periodic Table Part 6: Pnictogens (N, P, As, Sb, Bi, Mc)

It's time to check out Group 15 on the periodic table, the pnictogens. This includes nitrogen, phosphorus, arsenic, antimony, bismuth, and moscovium. What can we say about their properties, reactivities, and applications? Let's find out! Watch the whole Inorganic/Organometallic Chemistry

From playlist Inorganic/Organometallic Chemistry

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André JOYAL - 3/4 A crash course in topos theory : the big picture

I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti

From playlist Topos à l'IHES

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Oxygen Family

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From playlist Chemistry

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Group theory 31: Free groups

This lecture is part of an online math course on group theory. We review free abelian groups, then construct free (non-abelian) groups, and show that they are given by the set of reduced words, and as a bonus find that they are residually finite.

From playlist Group theory

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Dihedral Group (Abstract Algebra)

The Dihedral Group is a classic finite group from abstract algebra. It is a non abelian groups (non commutative), and it is the group of symmetries of a regular polygon. This group is easy to work with computationally, and provides a great example of one connection between groups and geo

From playlist Abstract Algebra

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

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From playlist Lie Groups and Lie Algebras

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Lie groups: Introduction

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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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From playlist Latest Uploads

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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 Lie Groups and Lie Algebras

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Grothendieck Pairs and Profinite Rigidity - Martin Bridson

Arithmetic Groups Topic: Grothendieck Pairs and Profinite Rigidity Speaker: Martin Bridson Affiliation: Oxford University Date: January 26, 2022 If a monomorphism of abstract groups H↪G induces an isomorphism of profinite completions, then (G,H) is called a Grothendieck pair, recalling t

From playlist Mathematics

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Regular permutation groups and Cayley graphs

Cheryl Praeger (University of Western Australia). Plenary Lecture from the 1st PRIMA Congress, 2009. Plenary Lecture 11. Abstract: Regular permutation groups are the 'smallest' transitive groups of permutations, and have been studied for more than a century. They occur, in particular, as

From playlist PRIMA2009

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

PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund

From playlist Group Algebras, Representations And Computation

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Vincent Guirardel: Natural subgroups of automorphisms

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebra

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Gilbert Levitt - Vertex finiteness for relatively hyperbolic groups

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From playlist T1-2014 : Random walks and asymptopic geometry of groups.

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Abstract Algebra - 9.2 Factor Groups

Closely related to our study on normal subgroups, we now look at factor groups (aka quotient groups). These are groups created by partitioning a group according to a subgroup. We essentially divide the group by the subgroup, thus the name! Video Chapters: Intro 0:00 Recall a Normal Subgro

From playlist Abstract Algebra - Entire Course

Related pages

Perfect group | Fundamental group | Acyclic space | Homology sphere | Special linear group | Trivial group | Mathematics | Commutator subgroup | Schur multiplier | Binary icosahedral group | Henri Poincaré | Eilenberg–MacLane space | Group theory | Finite group | Group (mathematics)