Finite groups | Properties of groups

Monomial group

In mathematics, in the area of algebra studying the character theory of finite groups, an M-group or monomial group is a finite group whose complex irreducible characters are all monomial, that is, induced from characters of degree 1. In this section only finite groups are considered. A monomial group is solvable by, presented in textbook in and . Every supersolvable group and every solvable A-group is a monomial group. Factor groups of monomial groups are monomial, but subgroups need not be, since every finite solvable group can be embedded in a monomial group, as shown by and in textbook form in . The symmetric group is an example of a monomial group that is neither supersolvable nor an A-group. The special linear group is the smallest finite group that is not monomial: since the abelianization of this group has order three, its irreducible characters of degree two are not monomial. (Wikipedia).

Video thumbnail

Categories 6 Monoidal categories

This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super

From playlist Categories for the idle mathematician

Video thumbnail

What is the definition of a monomial and polynomials with examples

👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on

From playlist Classify Polynomials

Video thumbnail

Monodromy of nFn−1 hypergeometric functions and arithmetic groups II - Venkataramana

Speaker: T. N. Venkataramana (TIFR) Title: Monodromy of nFn−1 hypergeometric functions and arithmetic groups II We describe results of Levelt and Beukers-Heckman on the explicit computation of monodromy for generalised hypergeometric functions of one variable. We then discuss the question

From playlist Mathematics

Video thumbnail

Monodromy of nFn−1 hypergeometric functions and arithmetic groups I - T.N. Venkatara

Speaker: T. N. Venkataramana (TIFR) Title: Monodromy of nFn−1 hypergeometric functions and arithmetic groups I Abstract: We describe results of Levelt and Beukers-Heckman on the explicit computation of monodromy for generalised hypergeometric functions of one variable. We then discuss the

From playlist Mathematics

Video thumbnail

Geometry of Frobenioids - part 2 - (Set) Monoids

This is an introduction to the basic properties of Monoids. This video intended to be a starting place for log-schemes, Mochizuki's IUT or other absolute geometric constructions using monoids.

From playlist Geometry of Frobenioids

Video thumbnail

Category Theory 10.2: Monoid in the category of endofunctors

Monad as a monoid in the category of endofunctors

From playlist Category Theory

Video thumbnail

Introduction to Polynomials

http://mathispower4u.wordpress.com/

From playlist Polynomial Operations

Video thumbnail

Computing Wedderburn decomposition using the concept of Shoda pairs by Sugandha Maheshwari

PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund

From playlist Group Algebras, Representations And Computation

Video thumbnail

Romanos Malikiosis: Full spark Gabor frames in finite dimensions

Romanos Malikiosis: Full spark Gabor frames in finite dimensions Abstract: The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. Gabor frame is the set of all time-frequency translates of a complex function and is a fundamental too

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Video thumbnail

Nonlinear algebra, Lecture 1: "Polynomials, Ideals, and Groebner Bases", by Bernd Sturmfels

This is the first lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences. Topics covered: polynomilas, ideals and Groebner bases.

From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra

Video thumbnail

On characterization of monomial irreducible representations by Pooja Singla

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

Video thumbnail

"New Paradigms in Invariant Theory" - Roger Howe, Yale University [2011]

HKUST Institute for Advanced Study Distinguished Lecture New Paradigms in Invariant Theory Speaker: Prof Roger Howe, Yale University Date: 13/6/2011 Video taken from: http://video.ust.hk/Watch.aspx?Video=6A41D5F6B1A790DC

From playlist Mathematics

Video thumbnail

Monica Vazirani: From representations of the rational Cherednik algebra to parabolic Hilbert schemes

Abstract: Young diagrams and standard tableaux on them parameterize irreducible representations of the symmetric group and their bases, respectively. There is a similar story for the double affine Hecke algebra (DAHA) taking periodic tableaux, or for the rational Cherednik algebra (a.k.a.

From playlist SMRI Algebra and Geometry Online

Video thumbnail

Nonlinear algebra, Lecture 7: "Toric Varieties", by Mateusz Michalek

This is the seventh lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.

From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra

Video thumbnail

On the symmetries of and equivalence test for design polynomials by Nikhil Gupta

Discussion Meeting Workshop on Algebraic Complexity Theory  ORGANIZERS Prahladh Harsha, Ramprasad Saptharishi and Srikanth Srinivasan DATE & TIME 25 March 2019 to 29 March 2019 VENUE Madhava Lecture Hall, ICTS Bangalore Algebraic complexity aims at understanding the computationa

From playlist Workshop on Algebraic Complexity Theory 2019

Video thumbnail

Tropical Geometry - Lecture 4 - Gröbner Bases and Tropical Bases | Bernd Sturmfels

Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)

From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels

Video thumbnail

Polynomials - Classifying Monomials, Binomials & Trinomials - Degree & Leading Coefficient

This algebra video tutorial provides a basic introduction into polynomials. It explains how to identify a monomial, binomial, and a trinomial according to the number of terms present in an algebraic expression. it also explains how to identify all of the terms in a polynomial as well as

From playlist New Algebra Playlist

Video thumbnail

An invitation to invariant theory - Viswambhara Makam

Computer Science/Discrete Mathematics Seminar II Topic: An invitation to invariant theory Speaker: Viswambhara Makam Affiliation: Member, School of Mathematics Date: February 18, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

On Class Groups of Monogenic Fields

Short Talks by Postdoctoral Members Topic: On Class Groups of Monogenic Fields Speaker: Artane Jeremie Siad Affiliation: Member, School of Mathematics September 30, 2022

From playlist Short Talks by Postdoctoral Members

Related pages

Special linear group | Character theory | Symmetric group | Mathematics | A-group | Induced representation | Monomial representation | Solvable group | Supersolvable group | Algebra | Finite group | Group (mathematics)