Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra
The idea of a quotient group follows easily from cosets and Lagrange's theorem. In this video, we start with a normal subgroup and develop the idea of a quotient group, by viewing each coset (together with the normal subgroup) as individual mathematical objects in a set. This set, under
From playlist Abstract algebra
Visual Group Theory, Lecture 3.5: Quotient groups
Visual Group Theory, Lecture 3.5: Quotient groups Like how a direct product can be thought of as a way to "multiply" two groups, a quotient is a way to "divide" a group by one of its subgroups. We start by defining this in terms of collapsing Cayley diagrams, until we get a conjecture abo
From playlist Visual Group Theory
Fundamentals of Mathematics - Lecture 25: Quotient Maps (Real Projective Line, Modular Arithmetic)
course page - https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics
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
RNT1.4. Ideals and Quotient Rings
Ring Theory: We define ideals in rings as an analogue of normal subgroups in group theory. We give a correspondence between (two-sided) ideals and kernels of homomorphisms using quotient rings. We also state the First Isomorphism Theorem for Rings and give examples.
From playlist Abstract Algebra
algebraic geometry 13 Three examples of quotients
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers three examples of quotients by groups: a cyclic quotient singularity, the parameter space of cyclohexane, and the moduli space of elliptic curves. Correction: o
From playlist Algebraic geometry I: Varieties
Abstract Algebra | Quotient Groups
We introduce the notion of a quotient group and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Fundamentals of Mathematics - Lecture 26: Well-Definedness
course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics
Towards a modular "2 realizations" equivalence - Simon Riche
Geometric and Modular Representation Theory Seminar Topic: Towards a modular "2 realizations" equivalence Speaker: Simon Riche Affiliation: Université Clermont Auvergne; Member, School of Mathematics Date: May 05, 2021 For more video please visit http://video.ias.edu
From playlist Seminar on Geometric and Modular Representation Theory
On two geometric realizations of the anti-spherical module - Tsao-Hsien Chen
Geometric and Modular Representation Theory Seminar Topic: On two geometric realizations of the anti-spherical module Speaker: Tsao-Hsien Chen Affiliation: University of Minnesota, Twin Cities; Member, School of Mathematics Date: March 03, 2021 For more video please visit http://video.ia
From playlist Seminar on Geometric and Modular Representation Theory
Kazhdan-Lusztig category - Jin-Cheng Guu
Quantum Groups Seminar Topic: Kazhdan-Lusztig category Speaker: Jin-Cheng Guu Affiliation: Stony Brook University Date: May 06, 2021 For more video please visit http://video.ias.edu
From playlist Quantum Groups Seminar
Algebraic K-Theory Via Binary Complexes - Daniel Grayson
Daniel Grayson University of Illinois at Urbana-Champaign; Member, School of Mathematics October 22, 2012 Quillen's higher K-groups, defined in 1971, paved the way for motivic cohomology of algebraic varieties. Their definition as homotopy groups of combinatorially constructed topolo
From playlist Mathematics
Modular Perverse Sheaves on the affine Flag Variety - Laura Rider
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: Modular Perverse Sheaves on the affine Flag Variety Speaker: Laura Rider Affiliation: University of Georgia Date: November 16, 2020 For more video please visit http://video.ias.edu
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
Eugen Hellmann: On the derived category of the Iwahori-Hecke algebra
SMRI Algebra and Geometry Online 'On the derived category of the Iwahori-Hecke algebra' Eugen Hellmann (University of Münster) Abstract: In this talk I will state a conjecture which predicts that the derived category of smooth representations of a p-adic split reductive group admits a ful
From playlist SMRI Algebra and Geometry Online
Towards derived Satake equivalence for symmetric varieties - Tsao-Hsien Chen
Workshop on Representation Theory and Geometry Topic: Towards derived Satake equivalence for symmetric varieties Speaker: Tsao-Hsien Chen Affiliation: University of Minnesota; Member, School of Mathematics Date: April 03, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
The integral coefficient geometric Satake equivalence in mixed characteristic - Jize Yu
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: The integral coefficient geometric Satake equivalence in mixed characteristic Speaker: Jize Yu Affiliation: Member, School of Mathematics Date: November 16, 2020 For more video please visit http://video.ias
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
What is a difference quotient? How to find a difference quotient. Deriving it from the rise over run formula.
From playlist Calculus