Difference Between Normalizer, Centralizer, and Stabilizer
An easy way to remember what is the normalizer and centralizer of a subgroup, and what is the stabilizer of an element under a group action. For people learning abstract algebra! Group Theory playlist: https://youtube.com/playlist?list=PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6 Subscribe to see
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
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
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 for Physicists (Definitions with Examples)
In this video, we cover the most basic points that a physicist should know about group theory. Along the way, we'll give you lots of examples that illustrate each step. 00:00 Introduction 00:11 Definition of a Group 00:59 (1) Closure 01:34 (2) Associativity 02:02 (3) Identity Element 03:
From playlist Mathematical Physics
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
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
Lie Groups and Lie Algebras: Lesson 26: Review!
Lie Groups and Lie Algebras: Lesson 26: Review! It never hurts to recap! https://www.patreon.com/XYLYXYLYX
From playlist Lie Groups and Lie Algebras
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
Ultrametric stability problems - Francesco Fournier Facio
Stability and Testability Topic: Ultrametric stability problems Speaker: Francesco Fournier Facio Affiliation: Eidgenössische Technische Hochschule Zürich Date: March 31, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Ergün Yalcin: Representation rings for fusion systems and dimension functions
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"
Stability and sofic approximations for product groups and property (tau) - Adrian Ioana
Stability and Testability Topic: Stability and sofic approximations for product groups and property (tau) Speaker: Adrian Ioana Affiliation: University of California, San Diego Date: November 4, 2020 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Stability and Invariant Random Subgroups - Henry Bradford
Stability and Testability Topic: Stability and Invariant Random Subgroups Speaker: Henry Bradford Affiliation: Cambridge University Date: January 20, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Pierre Parent: Stable models for modular curves in prime level
Abstract: We describe stable models for modular curves associated with all maximal subgroups in prime level, including in particular the new case of non-split Cartan curves. Joint work with Bas Edixhoven. Recording during the meeting "Diophantine Geometry" the May 24, 2018 at the Centre
From playlist Algebraic and Complex Geometry
A Semistable Model for the Tower of Modular Cures - Jared Weinstein
Jared Weinstein Institute for Advanced Study October 27, 2010 The usual Katz-Mazur model for the modular curve X(pn)X(pn) has horribly singular reduction. For large n there isn't any model of X(pn)X(pn) which has good reduction, but after extending the base one can at least find a semista
From playlist Mathematics
Daniel Hoffmann, University of Warsaw
May 14, Daniel Hoffmann, University of Warsaw Fields with derivations and action of finite group
From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra
Stability, testability and property (T) - Oren Beker
Stability and Testability Topic: Stability, testability and property (T) Speaker: Oren Beker Affiliation: University of Cambridge Date: October 28, 2020 For more video please visit http://video.ias.edu
From playlist Stability and Testability
A stable arithmetic regularity lemma in finite (...) - C. Terry - Workshop 1 - CEB T1 2018
Caroline Terry (Maryland) / 01.02.2018 A stable arithmetic regularity lemma in finite-dimensional vector spaces over fields of prime order In this talk we present a stable version of the arithmetic regularity lemma for vector spaces over fields of prime order. The arithmetic regularity l
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Perfectoid spaces (Lecture 5) by Kiran Kedlaya
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
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