In this video I do an example problem calculating the right coset of a set, H, with an element from the symmetric group on four elements.
From playlist Abstract algebra
Cosets generated by elements of cosets
What were to happen should we generate a left or right coset with an element of a coset? In this video I explore how we simply end up with the same coset.
From playlist Abstract algebra
Proof: Cosets are Disjoint and Equal Size
Explanation for why cosets of a subgroup are either equal or disjoint and why all cosets have the same size. Group Theory playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6 0:00 Cosets are disjoint 3:15 Cosets have same size Subscribe to see more new math
From playlist Group Theory
A graphical representation of cosets using Caley tables, gives us a deeper insight. In this video we explore two cases. In the first, the element of G that creates the coset of the subgroup is in the subgroup and in the second, it is not.
From playlist Abstract algebra
Before we carry on with our coset journey, we need to discover when the left- and right cosets are equal to each other. The obvious situation is when our group is Abelian. The other situation is when the subgroup is a normal subgroup. In this video I show you what a normal subgroup is a
From playlist Abstract algebra
Trigonometry 5 The Cosine Relationship
A geometrical explanation of the law of cosines.
From playlist Trigonometry
Cosets in Group Theory | Abstract Algebra
We introduce cosets of subgroups in groups, these are wonderful little discrete math structures, and we'll see coset examples and several coset theorems in this video. If H is a subgroup of a group G, and a is an element of G, then Ha is the set of all products ha where a is fixed and h ra
From playlist Abstract Algebra
In this first video on cosets, I show you the equivalence relation on a group, G, that will turn out to create equivalence classes, which are actually cosets. We will prove later that these equivalence classes created by an element in the group, G, are equal to the set of element made up
From playlist Abstract algebra
Ruud Pellikaan: The coset leader weight enumerator of the code of the twisted cubic
In general the computation of the weight enumerator of a code is hard and even harder so for the coset leader weight enumerator. Generalized Reed Solomon codes are MDS, so their weight enumerators are known and its formulas depend only on the length and the dimension of the code. The coset
From playlist Combinatorics
Locally Repairable Codes, Storage Capacity and Index Coding - Arya Mazumdar
Computer Science/Discrete Mathematics Seminar I Topic: Locally Repairable Codes, Storage Capacity and Index Coding Speaker: Arya Mazumdar Affiliation: University of Massachusetts, Amherst Date: Febuary 5, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
http://www.teachastronomy.com/ Cosmology is the study of the universe, its history, and everything in it. It comes from the Greek root of the word cosmos for order and harmony which reflected the Greek belief that the universe was a harmonious entity where everything worked in concert to
From playlist 22. The Big Bang, Inflation, and General Cosmology
Cosets -- Abstract Algebra video 9
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From playlist Abstract Algebra
Visual Group Theory, Lecture 3.6: Normalizers
Visual Group Theory, Lecture 3.6: Normalizers A subgroup H of G is normal if xH=Hx for all x in G. If H is not normal, then the normalizer is the set of elements for which xH=Hx. Obviously, the normalizer has to be at least H and at most G, and so in some sense, this is measuring "how clo
From playlist Visual Group Theory
Normal Subgroups and Quotient Groups (aka Factor Groups) - Abstract Algebra
Normal subgroups are a powerful tool for creating factor groups (also called quotient groups). In this video we introduce the concept of a coset, talk about which subgroups are “normal” subgroups, and show when the collection of cosets can be treated as a group of their own. As a motivat
From playlist Abstract Algebra
Normal Subgroups and Quotient Groups -- Abstract Algebra 11
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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
Abstract Algebra - 7.1 Cosets and Their Properties
In this video, we explore the definition of both left and right cosets and an example of each. In addition, we take a look at 9 properties that cosets share. Video Chapters: Intro 0:00 What is a Coset/Left Coset Example? 0:06 Example of Right Cosets 4:31 The First 3 Coset Properties 8:19
From playlist Abstract Algebra - Entire Course
Abstract Algebra | Coset equality.
We present a result which determines when cosets of a subgroup are equal. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Proof: Cosets Partition the Group | Abstract Algebra
We prove, for a group G with subgroup H, the family of cosets Ha as a ranges over G, forms a partition of G. This means any two cosets Ha and Hb will be disjoint or equal, and also that every element of G is in a coset Ha. This is a significant but easily proven result. #abstractalgebra #g
From playlist Abstract Algebra