In the mathematical field of infinite group theory, the Nottingham group is the group J(Fp) or N(Fp) consisting of formal power series t + a2t2+...with coefficients in Fp. The group multiplication is given by formal composition also called substitution. That is, if and if is another element, then . The group multiplication is not abelian. The group was studied by number theorists as the group of wild automorphisms of the local field Fp((t)) and by group theorists including D. and the name "Nottingham group" refers to his former domicile. This group is a finitely generated pro-p-group, of finite width. For every finite group of order a power of p there is a closed subgroup of the Nottingham group isomorphic to that finite group. (Wikipedia).
Karen Vogtmann, Lecture I - 10 February 2015
Karen Vogtmann (U. of Warwick, UK and Cornell University, USA) - Lecture I http://www.crm.sns.it/course/4037/ Automorphism groups of free groups bear similarities to both lattices in Lie groups and to surface mapping class groups. In this minicourse we will explore the cohomology of thes
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
In this video, you’ll learn how to join groups on LinkedIn. Visit https://edu.gcfglobal.org/en/linkedin/keeping-up-with-linkedin/1/ for our text-based lesson. We hope you enjoy!
From playlist LinkedIn
Karen Vogtmann, Lecture II - 12 February 2015
Karen Vogtmann (U. of Warwick, UK and Cornell University, USA) - Lecture II http://www.crm.sns.it/course/4037/ Automorphism groups of free groups bear similarities to both lattices in Lie groups and to surface mapping class groups. In this minicourse we will explore the cohomology of thes
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Now that we have defined and understand quotient groups, we need to look at product groups. In this video I define the product of two groups as well as the group operation, proving that it is indeed a group.
From playlist Abstract algebra
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
This is lecture 9 of an online mathematics course on groups theory. It covers the quaternions group and its realtion to the ring of quaternions.
From playlist Group theory
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
The Beech is the latest addition to our collection of videos about trees, presented by ecologist Dr Markus Eichhorn. See them all at http://www.test-tube.org.uk/trees/
From playlist Guide to Trees & Plants
LEISURE: Nottingham Goose Fair (1929)
EMPIRE NEWS NEWSREEL (REUTERS) To license this film, visit https://www.britishpathe.com/video/VLVA185NVRUV7VA45NRVZG9ING5B3-LEISURE-NOTTINGHAM-GOOSE-FAIR General views of 600-year-old Nottingham Goose Fair, opened by the Nottingham Mayor. Full Description: SLATE CARD INFORMATION: Nott
From playlist EMPIRE NEWS NEWSREEL (REUTERS)
Aspirin - Periodic Table of Videos
In this video about aspirin we show you an old sample and make a new one.
From playlist Molecular Videos - Periodic Videos
Martyn Poliakoff: the elements of chemistry | The Royal Society
Join Professor Sir Martyn Poliakoff for a whirlwind tour of the periodic table, elements that have played an important role in his scientific career and have led him to champion greener more sustainable ways of making the chemicals which we all need to maintain our quality of life. Sir Ma
From playlist Latest talks and lectures
Hellfire Club: The 18th-Century Secret Society Hidden To All | Underground Britain | Spark
This week, the expedition took Rob Bell to central England to discover the secrets beneath the surface. Watch as he reveals Nottingham's gruesome medieval past through hundreds of underground caves, working with the men who prepare for life or death underground rescues, investigates a rum
From playlist Underground Britain
What are they up to now? Super biomaterials to fight superbugs | The Royal Society
Ever wonder what our researchers do once the Summer Science Exhibition is finished? We catch up with some of our previous exhibitors to find out what’s new with their research since their time at the Exhibition. In this session, we hear from Super biomaterials to fight superbugs. Speakers
From playlist Summer Science 2020 on demand
The Big Summer Science Quiz 2020 | The Royal Society
Comedian Steve Cross hosts the perfect science quiz for all ages, with special guests Brian Cox, Maggie Aderin-Pocock, Konnie Huq, Adam Rutherford and Martyn Poliakoff. Opening music: bensound.com The Royal Society is a Fellowship of many of the world's most eminent scientists and is the
From playlist Summer Science 2020 on demand
Nyholm Lecture by Martyn Poliakoff
This is Martyn Poliakoff's Nyholm Lecture "From Test Tube to YouTube" about his journey making films for The Periodic Table of Videos - see the films at http://www.youtube.com/user/periodicvideos A few links: Martyn's Wiggly Giggle video: http://www.youtube.com/watch?v=sKt7XyJyg04 The int
From playlist Periodic Table of Videos - Behind the Scenes
How to 3D print the 'wonder pill' | The Royal Society
Join the team from University of Nottingham working on 3D printing one single 'wonder pill' for people who take multiple medications. Visit the team's website: https://www.nottingham.ac.uk/Research/Groups/CfAM/Major-EPSRC-Funding/Programme-Grant-Next-Gen-AM/Royal-Society-Summer-Science-20
From playlist Summer Science 2021 on demand
Abstract Algebra: Motivation for the definition of a group
The definition of a group is very abstract. We motivate this definition with a simple, concrete example from basic algebra. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https:/
From playlist Abstract Algebra
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From playlist Molecular Videos - Periodic Videos
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In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra