Finite groups | Permutation groups
In mathematics, an alternating group is the group of even permutations of a finite set. The alternating group on a set of n elements is called the alternating group of degree n, or the alternating group on n letters and denoted by An or Alt(n). (Wikipedia).
Abstract Algebra | The Alternating Group
We define the alternating group and prove it has n!/2 elements. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Visual Group Theory, Lecture 2.3: Symmetric and alternating groups
Visual Group Theory, Lecture 2.3: Symmetric and alternating groups In this lecture, we introduce the last two of our "5 families" of groups: (4) symmetric groups and (5) alternating groups. The symmetric group S_n is the group of all n! permutations of {1,...,n}. We see several different
From playlist Visual Group Theory
AKPotW: Alternating Group Generators [Group Theory]
If this video is confusing, be sure to check out our blog for the full solution transcript! https://centerofmathematics.blogspot.com/2018/05/advanced-knowledge-problem-of-week-5-17.html
From playlist Center of Math: Problems of the Week
Group theory 22: Symmetric groups
This lecture is part of an online mathematics course on group theory. It covers the basic theory of symmetric and alternating groups, in particular their conjugacy classes.
From playlist Group theory
GT17. Symmetric and Alternating Groups
EDIT: at 15:00, we have (abcde) = (abc)(cde) instead of (abc)(ade) Abstract Algebra: We review symmetric and alternating groups. We show that S_n is generated by its 2-cycles and that A_n is generated by its 3-cycles. Applying the latter with the Conjugation Formula, we show that A_5 i
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
What is an alternating series? - Week 4 - Lecture 5 - Sequences and Series
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From playlist Ohio State: Calculus Two with Jim Fowler: Sequences and Series | CosmoLearning Mathematics
Matrix Groups (Abstract Algebra)
Matrices are a great example of infinite, nonabelian groups. Here we introduce matrix groups with an emphasis on the general linear group and special linear group. The general linear group is written as GLn(F), where F is the field used for the matrix elements. The most common examples
From playlist Abstract Algebra
This video explains how to apply the alternating series test. http://mathispower4u.yolasite.com/
From playlist Infinite Sequences and Series
John s. Wilson - Metric ultraproducts of finite simple groups
John S. Wilson (University of Oxford, England) Metric ultraproducts of structures have arisen in a variety of contexts. The study of the case when the structures are finite groups is recent and motivated partly by the connection with sofic groups. We report on current joint work with An
From playlist T1-2014 : Random walks and asymptopic geometry of groups.
Global symmetry from local information: The Graph Isomorphism Problem – László Babai – ICM2018
Combinatorics | Mathematical Aspects of Computer Science Invited Lecture 13.4 | 14.5 Global symmetry from local information: The Graph Isomorphism Problem László Babai Abstract: Graph Isomorphism (GI) is one of a small number of natural algorithmic problems with unsettled complexity stat
From playlist Combinatorics
Selmer groups and a Cassels-Tate pairing for finite Galois modules - Alexander Smith
Joint IAS/Princeton University Number Theory Seminar Topic: Selmer groups and a Cassels-Tate pairing for finite Galois modules Speraker: Alexander Smith Affiliation: Massachusetts Institute of Technology Date: February 25, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Representation theory: Examples D8, A4, S4, S5, A5
In this talk we calculate the character tables of several small groups: the dihedral group of order 8, and the alternating and symmetric groups on 4 and 5 points. We do this by first finding the 1-dimensional characters, then finding a few other characters by looking at permutation repres
From playlist Representation theory
The Null Hypothesis and Alternative Hypothesis in Statistics Testing
We explore the null and alternative hypothesis used in significance testing. I explain how the null hypothesis is created and then how to follow with either a directional or non-directional (one-tailed vs. two-tailed) alternative hypothesis. You get some practice identifying and creating b
From playlist Business Statistics Lectures (FA2020, QBA337 @ MSU)
Alternative Hypotheses: Main Ideas!!!
In Statistics, when we do Hypothesis Testing, we are supposed to have two hypotheses: A primary, or Null Hypothesis and an Alternative Hypothesis. This StatQuest explains why we need the Alternative Hypothesis, even though Hypothesis Testing tends to focus on the Null. NOTE: This StatQues
From playlist StatQuest
This is the answer to: https://www.youtube.com/watch?v=ObBheF5cr44 Next puzzle: https://www.youtube.com/watch?v=DWeL91x15SI Music by Bertrand Laurence http://www.bertrandlaurence.com used with permission. Find me on FaceBook: https://www.facebook.com/YouTubeTyYann
From playlist Tricks and Math Puzzles answers
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
Principles of Evolution, Ecology and Behavior (EEB 122) Originally, altruism and self-sacrifice were thought to be incompatible with natural selection, even by Darwin. Now we have several explanations for how altruism can increase an individual's fitness. One is kin selection, or the id
From playlist Evolution, Ecology and Behavior with Stephen C. Stearns