Free group

Group theory 32: Subgroups of free groups

This lecture is part of an online mathematics course on group theory. We describe subgroups of free groups, show that they are free, calculate the number of generators, and give two examples.

From playlist Group theory

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

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

Every Group is a Quotient of a Free Group

First isomorphism theorem: https://youtu.be/ssVIJO5uNeg An explanation of a proof that every finite group is a quotient of a free group. A similar proof also applies to infinite groups because we can consider a free group on an infinite number of elements! Group Theory playlist: https://

From playlist Group Theory

301.2 Definition of a Group

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)

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

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

Joining LinkedIn Groups

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

PowerShell and AD groups

More videos like this online at http://www.theurbanpenguin.com If like me you have better things to be doing than crreate and populate groups all day in the Ad see how we can speed the process up using PowerShell from the command line in Windows. I have no problems with Active Directory Us

From playlist Windows

Emily Stark: The visual boundary of hyperbolic free-by-cyclic groups

Abstract: Given an automorphism of the free group, we consider the mapping torus defined with respect to the automorphism. If the automorphism is atoroidal, then the resulting free-by-cyclic group is hyperbolic by work of Brinkmann. In addition, if the automorphism is fully irreducible, th

From playlist Topology

Emily Stark: Action rigidity for free products of hyperbolic manifold groups

CIRM VIRTUAL EVENT Recorded during the meeting"Virtual Geometric Group Theory conference " the May 22, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM

From playlist Virtual Conference

Rigidity for von Neumann algebras – Adrian Ioana – ICM2018

Analysis and Operator Algebras Invited Lecture 8.5 Rigidity for von Neumann algebras Adrian Ioana Abstract: We survey some of the progress made recently in the classification of von Neumann algebras arising from countable groups and their measure preserving actions on probability spaces.

From playlist Analysis & Operator Algebras

Martin Bridson - Subgroups of direct products of surface groups

After reviewing what is known about subgroups of direct products of surface groups and their significance in the story of which groups are Kähler, I shall describe a new construction that provides infinite families of finitely presented subgroups. These subgroups have varying higher-finite

From playlist Geometry in non-positive curvature and Kähler groups

Homotopy of Character Varieties by Sean Lawton

Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio

From playlist Higgs Bundles

Monika Kudlinska: Quasi-isometries of Free-by-cyclic Groups

Monika Kudlinska, University of Oxford Title: Quasi-isometries of Free-by-cyclic Groups A group is free-by-cyclic if it admits an epimorphism onto the infinite cyclic group with kernel a free group of finite rank. The study of free-by-cyclic groups is largely motivated by the case of 3-man

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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

Anna Erschler - Action of groups on the Poisson boundary

joint works with Vadim Kaimanovich and Josh Frisch

From playlist Geometry in non-positive curvature and Kähler groups