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
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
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
Abstract Algebra | Cyclic Subgroups
We define the notion of a cyclic subgroup and give a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
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
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
Abstract Algebra | The notion of a subgroup.
We present the definition of a subgroup and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Tongmu He: Sen operators and Lie algebras arising from Galois representations over p-adic varieties
HYBRID EVENT Recorded during the meeting "Franco-Asian Summer School on Arithmetic Geometry in Luminy" the June 03, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Recanzone Find this video and other talks given by worldwide mathematicia
From playlist Algebraic and Complex Geometry
Tongmu He - Sen operators and Lie algebras arising from Galois representations over p-adic varieties
Any finite-dimensional p-adic representation of the absolute Galois group of a p-adic local field with imperfect residue field is characterized by its arithmetic and geometric Sen operators defined by Sen-Brinon. We generalize their construction to the fundamental group of a p-adic affine
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
Cannon–Thurston maps – Mahan Mj – ICM2018
Geometry Invited Lecture 5.9 Cannon–Thurston maps Mahan Mj Abstract: We give an overview of the theory of Cannon–Thurston maps which forms one of the links between the complex analytic and hyperbolic geometric study of Kleinian groups. We also briefly sketch connections to hyperbolic sub
From playlist Geometry
Abstract Algebra | Normal Subgroups
We give the definition of a normal subgroup and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Definition of a Subgroup and Proof that the Kernel is a Subgroup
We define what it means for H to be a subgroup of G and give clear criteria which you can follow in order to prove that a given subset is a subgroup. Then we prove that the kernel of f is a subgroup of G. I hope this helps someone learning abstract algebra. Useful Math Supplies https://am
From playlist Group Theory Problems
Marina Poulet, Université Claude Bernard Lyon 1
December 9, Marina Poulet, Université Claude Bernard Lyon 1 Zariski-dense subgroups of Galois groups for Mahler equations
From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra
Ernst-Ulrich Gekeler: Algebraic curves with many rational points over non-prime finite fields
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 SPECIAL 7th European congress of Mathematics Berlin 2016.
William Stein - Kolyvagin's Approach to the Birch and Swinnerton-Dyer Conjecture [2008]
Kolyvagin's Approach to the Birch and Swinnerton-Dyer Conjecture CMI/MSRI Workshop: Modular Forms And Arithmetic June 28, 2008 - July 02, 2008 June 29, 2008 (02:00 PM PDT - 03:00 PM PDT) Speaker(s): William Stein (University of Washington) Location: MSRI: Simons Auditorium http://www.ms
From playlist Number Theory
Title: Density of Rational Points on Transcendental Varieties
From playlist Differential Algebra and Related Topics VII (2016)
Arithmetic hyperbolic 3-manifolds, perfectoid spaces, and Galois representations III - Peter Scholze
Peter Scholze University of Bonn February 14, 2014 One of the most studied objects in mathematics is the modular curve, which is the quotient of hyperbolic 2-space by the action of SL2. It is naturally the home of modular forms, but it also admits an algebraic structure. The interplay of t
From playlist Mathematics
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
Michael Harris "Shimura varieties and the search for a Langlands transform" [2012]
Michael Harris, Institut de mathématiques de Jussieu "Shimura varieties and the search for a Langlands transform" The Langlands reciprocity conjectures predict the existence of a correspondence between certain classes of representations of Galois groups of number fields and automorphic re
From playlist Number Theory