Definition of a group Lesson 24
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
A group is (in a sense) the simplest structure in which we can do the familiar tasks associated with "algebra." First, in this video, we review the definition of a group.
From playlist Modern Algebra - Chapter 15 (groups)
This video contains the origins of group theory, the formal definition, and theoretical and real-world examples for those beginning in group theory or wanting a refresher :)
From playlist Summer of Math Exposition Youtube Videos
Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
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
Abstract Algebra: We define the notion of a subgroup and provide various examples. We also consider cyclic subgroups and subgroups generated by subsets in a given group G. Example include A4 and D8. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-
From playlist Abstract Algebra
What is a Group? | Abstract Algebra
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups. In a fundamental way, groups are structures built from s
From playlist Abstract Algebra
Visual Group Theory, Lecture 1.6: The formal definition of a group
Visual Group Theory, Lecture 1.6: The formal definition of a group At last, after five lectures of building up our intuition of groups and numerous examples, we are ready to present the formal definition of a group. We conclude by proving several basic properties that are not built into t
From playlist Visual Group Theory
In this tutorial we define a subgroup and prove two theorem that help us identify a subgroup. These proofs are simple to understand. There are also two examples of subgroups.
From playlist Abstract algebra
Porfirio Leandro Leon Alvarez: Virtually Abelian Dimension for 3-Manifold Groups
Porfirio Leandro Leon Alvarez, Instituto de Matematicas, UNAM Title: Virtually Abelian Dimension for 3-Manifold Groups Given a group $\Gamma$, we say a collection $\mc F$ of subgroups of $\Gamma$ is a family if it is non-empty, closed under conjugation and under taking subgroups. Fixing a
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Mark Grant (10/22/20): Bredon cohomology and LS-categorical invariants
Title: Bredon cohomology and LS-categorical invariants Abstract: Farber posed the problem of describing the topological complexity of aspherical spaces in terms of algebraic invariants of their fundamental groups. In Part One of this talk, I’ll discuss joint work with Farber, Lupton and O
From playlist Topological Complexity Seminar
David Rosenthal - Finitely F-amenable actions and decomposition complexity of groups
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 David Rosenthal, St. John's University Title: Finitely F-amenable actions and decomposition complexity of groups Abstract: In their groundbreaking work on the Farrell-Jones Conjecture for Gromov hyperbolic groups, Bartels
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Séminaire Bourbaki 08/11/2014 - Rémi Coulon 1/4
"Théorie de la petite simplification : une approche géométrique" [d'après F. Dahmani, V. Guirardel, D. Osin et S. Cantat, S. Lamy] Une "bonne" action de groupe sur un espace hyperbolique (au sens de Gromov) permet de capturer les propriétés à large échelle du groupe. N'importe quelle ac
From playlist Bourbaki - 08 novembre 2014
Thomas Delzant - Holomorphic families of Riemann surfaces from the pov of asymptotic group theory
Thomas Delzant (Université de Strasbourg, France) Title: Holomorphic families of Riemann surfaces from the point of view of asymptotic group theory. We use standard methods of asymptotic group theory (asymptotic cones, limit groups), as well as recent results on the mapping class group t
From playlist T1-2014 : Random walks and asymptopic geometry of groups.
Sums of Two Cubes by Ari Shnidman
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Parallel session 10 by Darren Long
Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
Xiaolei Wu: On the finiteness of the classifying space for the family of virtually cyclic subgroups
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "The Farrell-Jones conjecture" In this talk, I will discuss the classifying space for the family of virtually cyclic subgroups. In particular, I will introduce an interesting conjecture due to
From playlist HIM Lectures: Junior Trimester Program "Topology"
ʕ•ᴥ•ʔ Factor by Grouping - an easy to understand example
Quickly master how to factor by grouping. Watch more lessons like this and try our practice at https://www.studypug.com/algebra-help/factoring-polynomials/factor-by-grouping This is a more advanced lesson on how to factor polynomials by grouping. Tips: 1) Look for the common factors and
From playlist GCSE Exam Prep
Stuff They Don't Want You to Know - The Family
The Family is a secretive evangelical group with powerful connections. It lobbies across the world for laws that reflect its values. This might be controversial to some, but it isn't illegal. So why do some believe this group is dangerous? http://howstuffworks.com http://facebook.com/Cons
From playlist Stuff They Don't Want You To Know
This is lecture 1 of an online mathematics course on group theory. This lecture defines groups and gives a few examples of them.
From playlist Group theory