Lagrange's theorem (group theory)

Group theory 4: Lagrange's theorem

This is lecture 4 of an online course on mathematical group theory. It introduces Lagrange's theorem that the order of a subgroup divides the order of a group, and uses it to show that all groups of prime order are cyclic, and to prove Fermat's theorem and Euler's theorem.

From playlist Group 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

Chapter 3: Lagrange's theorem, Subgroups and Cosets | Essence of Group Theory

Lagrange's theorem is another very important theorem in group theory, and is very intuitive once you see it the right way, like what is presented here. This video also discusses the idea of subgroups and cosets, which are crucial in the development of the Lagrange's theorem. Other than c

From playlist Essence of Group Theory

Abstract Algebra | Lagrange's Theorem

We prove some general results, culminating in a proof of Lagrange's Theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

Lagrange's Theorem and Index of Subgroups | Abstract Algebra

We introduce Lagrange's theorem, showing why it is true and follows from previously proven results about cosets. We also investigate groups of prime order, seeing how Lagrange's theorem informs us about every group of prime order - in particular it tells us that any group of prime order p

From playlist Abstract Algebra

Proof of Lemma and Lagrange's Theorem

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div

From playlist Abstract Algebra

Abstract Algebra 1.6 : Subgroups, Lagrange's Theorem, and the Center

In this video, I introduce Lagranges theorem, using it and other facts to prove many things about groups and their subgroups. I then introduce the center of a group and use it to prove that groups of order prime squared (|G| = p^2) are abelian. Email : fematikaqna@gmail.com Subreddit : ht

From playlist Abstract Algebra

Chapter 5: Quotient groups | Essence of Group Theory

Quotient groups is a very important concept in group theory, because it has paramount importance in group homomorphisms (connection with the isomorphism theorem(s)). With this video series, abstract algebra needs not be abstract - one can easily develop intuitions for group theory! In fac

From playlist Essence of Group Theory

Number Theory | Lagrange's Theorem of Polynomials

We prove Lagrange's Theorem of Polynomials which is related to the number of solutions to polynomial congruences modulo a prime.

From playlist Number Theory

Summary: an example covering ALL group theory concepts!! | Essence of Group Theory

The summary of the entire video series! After a quick recap on all the important concepts covered in the series, we see a very interesting, yet a bit involved example to see how these concepts can be applied to prove an interesting result. The concepts that we used are: (1) The correspond

From playlist Essence of Group Theory

an intermediate group theory question

We look at a nice abstract algebra question that uses Lagrange's Theorem along with the Second Isomorphism Theorem for groups. Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com

From playlist Assorted Group Theory Exercises

Cosets and Lagrange’s Theorem - The Size of Subgroups (Abstract Algebra)

Lagrange’s Theorem places a strong restriction on the size of subgroups. By using a device called “cosets,” we will prove Lagrange’s Theorem and give some examples of its power. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We re

From playlist Abstract Algebra

Noether’s Theorem in Classical Dynamics : Continuous Symmetries by N. Mukunda

DATES: Monday 29 Aug, 2016 - Tuesday 30 Aug, 2016 VENUE: Madhava Lecture Hall, ICTS Bangalore Emmy Noether (1882­-1935) is well known for her famous contributions to abstract algebra and theoretical physics. Noether’s mathematical work has been divided into three ”epochs”. In the first (

From playlist The Legacy of Emmy Noether

Chapter 2: Orbit-Stabiliser Theorem | Essence of Group Theory

An intuitive explanation of the Orbit-Stabilis(z)er theorem (in the finite case). It emerges very apparently when counting the total number of symmetries in some tricky but easy way. This video series continues to develop your intuition towards some fundamental concepts and results in Grou

From playlist Essence of Group Theory

Lagrange's Theorem -- Abstract Algebra 10

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKBm ⭐my other channels⭐ Main Channel: https://www.youtube.

From playlist Abstract Algebra

GT3. Cosets and Lagrange's Theorem

Abstract Algebra: Let G be a group with subgroup H. We define an equivalence relation on G that partitions G into left cosets. We use this partition to prove Lagrange's Theorem and its corollary. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-theor

From playlist Abstract Algebra

Holomorphic Floer theory and the Fueter equation - Aleksander Doan

Joint IAS/Princeton University Symplectic Geometry Seminar Holomorphic Floer theory and the Fueter equation Aleksander Doan Columbia University Date: April 25, 2022  I will discuss an idea of constructing a category associated with a pair of holomorphic Lagrangians in a hyperkahler manif

From playlist Mathematics