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
Pierre Py - Complex geometry and higher finiteness properties of groups
Following C.T.C. Wall, we say that a group G is of type if it has a classifying space (a K(G,1)) whose n-skeleton is finite. When n=1 (resp. n=2) one recovers the condition of finite generation (resp. finite presentation). The study of examples of groups which are of type Fn-1 but not of
From playlist Geometry in non-positive curvature and Kähler groups
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
The Special Linear Group is a Subgroup of the General Linear Group Proof
The Special Linear Group is a Subgroup of the General Linear Group Proof
From playlist Abstract Algebra
Group theory 26: Too many p groups
This video is part of an online mathematics course on group theory. We construct ridiculously large numbers of groups of order p^n, to explain why we do not try to classify them.
From playlist Group theory
Group Theory: The Center of a Group G is a Subgroup of G Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Theory: The Center of a Group G is a Subgroup of G Proof
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
Groups of Prime Order p are Cyclic with p-1 Generators Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Groups of Prime Order p are Cyclic with p-1 Generators Proof. In this video we prove that if G is a finite group whose order is a prime number p, then G is cyclic and every non identity element is a generator. Since G has p-1 non id
From playlist Abstract Algebra
Multigroup Structural Equation Modeling in AMOS (an update)
This video presents a demonstration of Multigroup Structural Equation Modeling (SEM) in AMOS. - Please watch previous videos on SEM here: https://www.youtube.com/watch?v=HKs9vIkpIXE&list=PLTjlULGD9bNLPjpFqDlVMFu0GyNX7_IB- - A useful book on multivariate analysis including SEM: https://www
From playlist Structural Equation Modeling
Justin Lynd: Control of fixed points and centric linking systems
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: Workshop "Fusion systems and equivariant algebraic topology"
From playlist HIM Lectures: Junior Trimester Program "Topology"
The holographic fish-chain at finite coupling (Lecture - 02) by Amit Sever
STRING THEORY LECTURES THE FISHNET MODEL - A PLAYGROUND FOR LARGE N HOLOGRAPHY SPEAKER: Amit Sever (Tel Aviv University, Israel & CERN, Geneva) DATE: 24 June 2019 to 26 June 2019 VENUE: Emmy Noether Seminar Room, ICTS Bangalore Lecture 1: Monday, 24 June 2019 at 14:30 Lecture 2: Tues
From playlist String Theory Lectures
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
Lecture 7: From Equivariance to Naturality - Pim de Haan
Video recording of the First Italian School on Geometric Deep Learning held in Pescara in July 2022. Slides: https://www.sci.unich.it/geodeep2022/slides/2022-07-27%20Naturality%20@%20First%20Italian%20GDL%20Summer%20School.pdf
From playlist First Italian School on Geometric Deep Learning - Pescara 2022
Three approaches for group-level statistics
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #5) Permutation-based statistics
Interacting particle systems with kinetic (Lecture 1) by Fabio Martinelli
PROGRAM : ADVANCES IN APPLIED PROBABILITY ORGANIZERS : Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah and Piyush Srivastava DATE & TIME : 05 August 2019 to 17 August 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in r
From playlist Advances in Applied Probability 2019
Celestial Amplitudes and Asymptotic Symmetries (Lecture 2) by Stephan Stieberger
PROGRAM RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online
From playlist Recent Developments in S-matrix Theory (Online)
R. Gutierrez - Quaternionic monodromies of the Kontsevich–Zorich cocycle
The monodromy group of a translation surface M is the Lie group spanned by all symplectic matrices arising from the homological action of closed loops at M (inside its embodying orbit closure). In the presence of zero Lyapunov exponents, Filip showed that these groups are —up to compact fa
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Title: On Differential Algebraic, But Not Constrained, Families
From playlist Spring 2014
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
Universality for Kinetically Constrained Spin Models (Lecture 4) by Fabio Martinelli
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019