Closed-subgroup theorem

A Finite Nonempty Subset of G Closed under the Group Operation is a Subgroup Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A Finite Nonempty Subset of G Closed under the Group Operation is a Subgroup Proof

From playlist Abstract Algebra

Galois theory: Algebraic closure

This lecture is part of an online graduate course on Galois theory. We define the algebraic closure of a field as a sort of splitting field of all polynomials, and check that it is algebraically closed. We hen give a topological proof that the field C of complex numbers is algebraically

From playlist Galois theory

Lagrange theorem

We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at

From playlist Abstract algebra

All About Closed Sets and Closures of Sets (and Clopen Sets) | Real Analysis

We introduced closed sets and clopen sets. We'll visit two definitions of closed sets. First, a set is closed if it is the complement of some open set, and second, a set is closed if it contains all of its limit points. We see examples of sets both closed and open (called "clopen sets") an

From playlist Real Analysis

Second Isomorphism Theorem for Groups Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Second Isomorphism Theorem for Groups Proof. If G is a group and H and K are subgroups of G, and K is normal in G, we prove that H/(H n K) is isomorphic to HK/K.

From playlist Abstract Algebra

The Centralizer is a Subgroup Proof

The Centralizer is a Subgroup Proof

From playlist Abstract Algebra

Every Closed Subset of a Compact Space is Compact Proof

Every Closed Subset of a Compact Space is Compact Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Topology

15 Properties of partially ordered sets

When a relation induces a partial ordering of a set, that set has certain properties with respect to the reflexive, (anti)-symmetric, and transitive properties.

From playlist Abstract algebra

Subgroups abstract algebra

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

Ahlfors-Bers 2014 "Surface Subgroups, Cube Complexes, and the Virtual Haken Theorem"

Jeremy Kahn (CUNY Graduate Center): In a largely expository talk, I will summarize the results leading up to the Virtual Haken and Virtual Fibered Theorem for three manifolds, including 1. The Geometrization Theorem of Thurston and Perelman 2. The Surface Subgroup Theorem of the speaker an

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

Researchers Use Group Theory to Speed Up Algorithms — Introduction to Groups

This is the most information-dense introduction to group theory you'll see on this website. If you're a computer scientist like me and have always wondered what group theory is useful for and why it even exists and furthermore don't want to bother spending hours learning the basics, this i

From playlist Summer of Math Exposition 2 videos

Lagrange's Theorem -- Abstract Algebra 10

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From playlist Abstract Algebra

Algebraic Ending Laminations and Quasiconvexity by Mahan Mj

Surface Group Representations and Geometric Structures DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi

From playlist Surface Group Representations and Geometric Structures

Bena Tshishiku: Groups with Bowditch boundary a 2-sphere

Abstract: Bestvina-Mess showed that the duality properties of a group G are encoded in any boundary that gives a Z-compactification of G. For example, a hyperbolic group with Gromov boundary an n-sphere is a PD(n+1) group. For relatively hyperbolic pairs (G,P), the natural boundary - the B

From playlist Topology

Amos Nevo: Representation theory, effective ergodic theorems, and applications - Lecture 4

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 Dynamical Systems and Ordinary Differential Equations

Invariant Measures for Horospherical Flows by Hee Oh

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

Stefaan Vaes, Superrigidity for dense subgroups of Lie groups and their actions on homogeneous space

Noncommutative Geometry Seminar (Europe), Oct. 6, 2021

From playlist Global Noncommutative Geometry Seminar (Europe)

Galois theory: Fundamental theorem of algebra

This lecture is part of an online graduate course on Galois theory. We use Galois theory to give a (mostly) algebraic proof that the complex numbers form an algebraically closed field.

From playlist Galois theory

All About Subgroups | Abstract Algebra

We introduce subgroups, the definition of subgroup, examples and non-examples of subgroups, and we prove that subgroups are groups. We also do an example proving a subset is a subgroup. If G is a group and H is a nonempty subset of G, we say H is a subgroup of G if H is closed with respect

From playlist Abstract Algebra

Invariant Random Subgroups of Lie Groups (Lecture-2) by Ian Biringer

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will

From playlist Probabilistic Methods in Negative Curvature (Online)