In mathematics, or more specifically group theory, the omega and agemo subgroups described the so-called "power structure" of a finite p-group. They were introduced in where they were used to describe a class of finite p-groups whose structure was sufficiently similar to that of finite abelian p-groups, the so-called, regular p-groups. The relationship between power and commutator structure forms a central theme in the modern study of p-groups, as exemplified in the work on uniformly powerful p-groups. The word "agemo" is just "omega" spelled backwards, and the agemo subgroup is denoted by an upside-down omega. (Wikipedia).
From general etale (phi, Gamma)-modules to representations of G(Q_p) - Marie-France Vigneras
Marie-France Vigneras Institut de Mathematiques de Jussieu March 24, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
In this tutorial we define a subgroup and prove two theorem that help us identify a subgroup. These proofs are simple to understand. There are also two examples of subgroups.
From playlist Abstract algebra
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
African Pantheons and the Orishas: Crash Course World Mythology #11
So, today we’re talking about African Pantheons. Now, you might say, that’s ridiculous. Africa isn’t a single place with a single pantheon, and we’d be fools to try and cover all that in an eleven minute video. You’d be right. Instead we’re going to focus on Yoruba religion from west Afric
From playlist World Mythology
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Groups in abstract algebra examples
In this tutorial I discuss two more examples of groups. The first contains four elements and they are the four fourth roots of 1. The second contains only three elements and they are the three cube roots of 1. Under the binary operation of multiplication, these sets are in fact groups.
From playlist Abstract algebra
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
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
Ernst-Ulrich Gekeler: Algebraic curves with many rational points over non-prime finite fields
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.
Galois theory: Examples of Galois extensions
This lecture is part of an online graduate course on Galois theory. We give several examples of Galois extensions, and work out the correspondence between subfields and subgroups explicitly.
From playlist Galois theory
Automorphism groups and Ramsey properties of sparse graphs - D. Evans - Workshop 1 - CEB T1 2018
David Evans (Imperial) / 30.01.2018 An infinite graph is sparse if there is a positive integer k such that for every finite subgraph, the number of edges is bounded above by k times the number of vertices. Such graphs arise in model theory via Hrushovskis predimension constructions. In jo
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
The Embedding Problem of Infinitely Divisible Probability Measures on Groups by Riddhi Shah
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
Stéphane Fischler: Between interpolation and multiplicity estimates on commutative algebraic groups
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Star and Galaxy Formation in the Early Universe
Okay, so at this point in the series we are about 150 million years into the lifetime of the universe. We've got a bunch of hydrogen and helium and not much else. But then gravity takes over, and boom! We've got stars! We've got galaxies! How, you ask? Well you'd better watch this! Watch
From playlist Astronomy/Astrophysics
Nicolás Matte Bon: Confined subgroups and high transitivity
A subgroup of a group is confined if the closure of its conjugacy class in the Chabauty space does not contain the trivial subgroup. Such subgroups arise naturally as stabilisers for non-free actions on compact spaces. I will explain a result establishing a relation between the confined su
From playlist Dynamical Systems and Ordinary Differential Equations
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Abstract Algebra - 3.1 Finite Groups and Subgroups: Terminology and Notation
Most of this chapter will revolve around the idea of a subgroup. However, we must begin by being able to differentiate between a finite group and infinite group. We look at some notation and definitions (order of a group, order of an element) before jumping into subgroups. Video Chapters:
From playlist Abstract Algebra - Entire Course
GT18.2. A_n is Simple (n ge 5)
Abstract Algebra: Using conjugacy classes, we give a second proof that A5, the alternating group on 5 letters, is simple. We adapt the first proof that A5 is simple to show that An is simple when n is greater than 5. The key step is to show that any normal subgroup with more than the id
From playlist Abstract Algebra