Splitting of Conjugacy Classes in Normal Subgroups
This was recorded as supplemental content for Math 110AH at UCLA in Fall 2020. In this video, we investigate the relationship between conjugacy classes and normal subgroups. 0:00 Setup 3:14 General theory 15:49 Example: A_5
From playlist Group Theory
Visual Group Theory, Lecture 3.7: Conjugacy classes
Visual Group Theory, Lecture 3.7: Conjugacy classes We were first introduced to the concept of conjugacy when studying normal subgroups: H is normal if every conjugate of H is equal to H. Alternatively, we can fix an element x of G, and ask: "which elements can be written as conjugates o
From playlist Visual Group Theory
The Conjugacy Class is of a is {a} iff a is in the Center of the Group Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Conjugacy Class is of a is {a} iff a is in the Center of the Group Proof
From playlist Abstract Algebra
Icosahedral symmetry - conjugacy classes and simplicity
How do we prove the rotational symmetries of icosahedron form a simple group? But wait, how do we prove *any* group is simple? The key to that involves the concept of conjugacy classes. This video explains intuitively why a normal subgroup has to be a union of conjugacy classes. This vide
From playlist Essence of Group Theory
After the previous video on conjugation, we can now look at conjugacy classes. You can learn more about Mathematica on my Udemy courses: https://www.udemy.com/mathematica/ https://www.udemy.com/mathematica-for-statistics/
From playlist Abstract algebra
Conjugacy is an Equivalence Relation on a Group Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Conjugacy is an Equivalence Relation on a Group Proof
From playlist Abstract Algebra
Why Normal Subgroups are Necessary for Quotient Groups
Proof that cosets are disjoint: https://youtu.be/uxhAUmgSHnI In order for a subgroup to create a quotient group (also known as factor group), it must be a normal subgroup. That means that when we conjugate an element in the subgroup, it stays in the subgroup. In this video, we explain wh
From playlist Group Theory
Abstract Algebra | Quotient Groups
We introduce the notion of a quotient group and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Parahoric Subgroups and Supercuspidal Representations of p-Adic groups - Dick Gross
Dick Gross Harvard University December 9, 2010 This is a report on some joint work with Mark Reeder and Jiu-Kang Yu. I will review the theory of parahoric subgroups and consider the induced representation of a one-dimensional character of the pro-unipotent radical. A surprising fact is th
From playlist Mathematics
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Andrew Sutherland: Computing the image of Galois representations attached to elliptic curves
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 Number Theory
Laura Ciobanu: Formal conjugacy growth and hyperbolicity
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
Anabelian Geometry - What is Conjugacy Indeterminacy?
Fundamental groups depend on base points. This video explains the much references conjugacy indeterminacy and what galois sections (morphisms G_K \to PI_X) can sometimes only be constructed as an outer group homomorphism. Twitter: @DupuyTaylor
From playlist Fundamental Groups
Torsion units of integral group rings (Lecture - 02) by Angel del Rio
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
Francesc Fité, Sato-Tate groups of abelian varieties of dimension up to 3
VaNTAGe seminar on April 7, 2020 License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Stefaan Vaes: "Outer actions of amenable groups on von Neumann algebras"
Actions of Tensor Categories on C*-algebras 2021 Mini Course: "Outer actions of amenable groups on von Neumann algebras" Stefaan Vaes - KU Leuven Abstract: I will give a survey lecture on the classification of outer actions of amenable groups on von Neumann algebras with the main focus b
From playlist Actions of Tensor Categories on C*-algebras 2021
Algorithmic Construction of Representations of Finite Solvable Groups by Ravi S Kulkarni
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
The Bernstein Center of the Category of Smooth W(k)[GL_n(F)]-Modules - David Helm
David Helm University of Texas April 14, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
GT18. Conjugacy and The Class Equation
Abstract Algebra: We consider the group action of the group G on itself given by conjugation. The orbits, called conjugacy classes, partition the group, and we have the Class Equation when G is finite. We also show that the partition applies to normal subgroups. Finally we apply the cla
From playlist Abstract Algebra
Anabelian Geometry - Inertia and Decomposition Groups (Part 1)
We discuss the statements about the recovery of inertia and decomposition groups of cusps. We will give proofs in the number field case of some statements. Proofs for finite extensions of QQ_p appear later. Twitter: @DupuyTaylor
From playlist Anabelian Geometry