The General Linear Group, The Special Linear Group, The Group C^n with Componentwise Multiplication
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The General Linear Group, The Special Linear Group, The Group C^n with Componentwise Multiplication
From playlist Abstract Algebra
Definition of the Order of an Element in a Group and Multiple Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of the Order of an Element in a Group and Multiple Examples
From playlist Abstract Algebra
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
This is lecture 5 of an online mathematics course on group theory. It classifies groups of order 4 and gives several examples of products of groups.
From playlist Group theory
Abstract Algebra: An abelian group G has order p^2, where p is a prime number. Show that G is isomorphic to either a cyclic group of order p^2 or a product of cyclic groups of order p. We emphasize that the isomorphic property usually requires construction of an isomorphism.
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
In this video we construct a symmetric group from the set that contains the six permutations of a 3 element group under composition of mappings as our binary operation. The specifics topics in this video include: permutations, sets, groups, injective, surjective, bijective mappings, onto
From playlist Abstract algebra
Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra
We introduce cyclic groups, generators of cyclic groups, and cyclic subgroups. We discuss an isomorphism from finite cyclic groups to the integers mod n, as well as an isomorphism from infinite cyclic groups to the integers. We establish a cyclic group of order n is isomorphic to Zn, and a
From playlist Abstract Algebra
Tensorial Forms in Infinite Dimensions - Andrew Snowden
Workshop on Additive Combinatorics and Algebraic Connections Topic: Tensorial Forms in Infinite Dimensions Speaker: Andrew Snowden Affiliation: University of Michigan Date: October 26, 2022 Let V be a complex vector space and consider symmetric d-linear forms on V, i.e., linear maps Symd
From playlist Mathematics
Haluk SENGUN - Cohomology of arithmetic groups and number theory: geometric, ... 2
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
FIT4.3. Galois Correspondence 1 - Examples
Field Theory: We define Galois extensions and state the Fundamental Theorem of Galois Theory. Proofs are given in the next part; we give examples to illustrate the main ideas.
From playlist Abstract Algebra
Elliptic Curves - Lecture 7 - Riemann-Roch, Hurwitz, and Weierstrass equations
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
J. Weinstein (Université de Boston) Titre : Moduli of p-divisible groups Résumé : I will explain why moduli spaces of p-divisible groups become perfectoid spaces at infinite level. This is joint work with Peter Scholze.
From playlist Conférence de mi-parcours du programme ANRThéorie de Hodge p-adique et Développements (ThéHopaD)25-27 septembre 2013
Order of Elements in a Group | Abstract Algebra
We introduce the order of group elements in this Abstract Algebra lessons. We'll see the definition of the order of an element in a group, several examples of finding the order of an element in a group, and we will introduce two basic but important results concerning distinct powers of ele
From playlist Abstract Algebra
Mark Feighn: The conjugacy problem for polynomially growing elements of Out(F_n)
(joint work with Michael Handel) $Out(F_{n}) := Aut(F_{n})/Inn(F_{n})$ denotes the outer automorphism group of the rank n free group $F_{n}$. An element $f$ of $Out(F_{n})$ is polynomially growing if the word lengths of conjugacy classes in Fn grow at most polynomially under iteration by $
From playlist Topology
Continuous descriptions for dry active matter by Eric Bertin
Discussion Meeting: Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows URL: http://www.icts.res.in/discussion_meeting/NPDS2015/ Dates: Monday 06 Apr, 2015 - Wednesday 08 Apr, 2015 Description: In recent years significant progress has been made in the physics
From playlist Discussion Meeting: Nonlinear Physics of Disordered Systems: From Amorphous Solids to Complex Flows
Geometry - Scalar Triple Product: Oxford Mathematics 1st Year Student Lecture
To give an insight in to life in Oxford Mathematics we are greatly increasing the number of undergraduate lectures that we are making available. This Geometry lecture from Professor Derek Moulton is taken from his First Year course. This course revisits some ideas encountered in high scho
From playlist Oxford Mathematics 1st Year Student Lectures
Samit Dasgupta: An introduction to auxiliary polynomials in transcendence theory, Lecture II
Broadly speaking, transcendence theory is the study of the rationality or algebraicity properties of quantities of arithmetic or analytic interest. For example, Hilbert’s 7th problem asked ”Is a b always transcendental if a 6= 0, 1 is algebraic and b is irrational algebraic?” An affirmativ
From playlist Harmonic Analysis and Analytic Number Theory
We need to be able to express vectors in the simplest, most efficient way possible. To do this, we will have to be able to assess whether some vectors are linearly dependent or linearly independent. How can we make sure that vectors are linearly independent? Script by Howard Whittle Watc
From playlist Mathematics (All Of It)
Abstract Algebra | The dihedral group
We present the group of symmetries of a regular n-gon, that is the dihedral group D_n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra