Finite groups

Dempwolff group

In mathematical finite group theory, the Dempwolff group is a finite group of order 319979520 = 215·32·5·7·31, that is the unique nonsplit extension of by its natural module of order . The uniqueness of such a nonsplit extension was shown by , and the existence by , who showed using some computer calculations of that the Dempwolff group is contained in the compact Lie group as the subgroup fixing a certain lattice in the Lie algebra of , and is also contained in the Thompson sporadic group (the full automorphism group of this lattice) as a maximal subgroup. , p.124) showed that any extension of by its natural module splits if , and showed that it also splits if is not 3, 4, or 5, and in each of these three cases there is just one non-split extension. These three nonsplit extensions can be constructed as follows: * The nonsplit extension is a maximal subgroup of the Chevalley group . * The nonsplit extension is a maximal subgroup of the sporadic Conway group Co3. * The nonsplit extension is a maximal subgroup of the Thompson sporadic group Th. (Wikipedia).

Video thumbnail

Briefing eines Bombenangriffs, US-Air Force Piloten planen Luftangriff auf Deutschland

US-Piloten sitzen auf dem Rollfeld eines Flugplatzes und werden auf einen Angriff vorbereitet, den sie fliegen werden. Im Hintergrund sieht man P-51 Mustang Flugzeuge.

From playlist Footage

Video thumbnail

Dwarven Demolition Team from Unlimited MTG Magic the Gathering

Dwarven Demolition Team from Unlimited MTG Magic the Gathering

From playlist MTG Unlimited

Video thumbnail

Nintendo Amusement Park

Video commerical of the Nintendo Amusement Park

From playlist Classic HowStuffWorks

Video thumbnail

Iris DeMent & EmmyLou Harris - Our Town

Iris DeMent & EmmyLou Harris - Our Town

From playlist Music

Video thumbnail

Drag Force!! (Physics)

#Physics #Mechanics #Engineering #NicholasGKK #Shorts

From playlist General Mechanics

Video thumbnail

A.I. Just Designed An Enzyme That Eats Plastic

» Podcast I Co-host: https://www.youtube.com/channel/UC6jKUaNXSnuW52CxexLcOJg » ColdFusion Discord: https://discord.gg/coldfusion » Twitter | @ColdFusion_TV » Instagram | coldfusiontv --- About ColdFusion --- ColdFusion is an Australian based online media company independently run by Dag

From playlist Technology

Video thumbnail

AMAZING physics demonstrations Laplace force (science experiments)

Physics (la physique) Electromagnetic force

From playlist ELECTROMAGNETISM

Video thumbnail

Lie Groups and Lie Algebras: Lesson 39 - The Universal Covering Group

Lie Groups and Lie Algebras: Lesson 39 - The Universal Covering Group We are finally in position to understand the nature of the Universal Covering Group and its connection to all the Lie groups which share a single Lie algebra. This is a critical lecture! In this lecture we simply state

From playlist Lie Groups and Lie Algebras

Video thumbnail

Lie groups: Introduction

This lecture is part of an online graduate course on Lie groups. We give an introductory survey of Lie groups theory by describing some examples of Lie groups in low dimensions. Some recommended books: Lie algebras and Lie groups by Serre (anything by Serre is well worth reading) Repre

From playlist Lie groups

Video thumbnail

Why Are Prejudice and Conflict So Common? | Understanding the Mysteries of Human Behavior

It's no wonder discrimination seems to be everywhere: splitting people into two groups, even at random, makes them subconsciously dislike each other. A sense of competition can exaggerate these feelings. Pick up your tools; we've got some bridge building to do. Presented by Mark Leary Lea

From playlist Latest Uploads

Video thumbnail

Lie Groups and Lie Algebras: Lesson 38 - Preparation for the concept of a Universal Covering Group

Lie Groups and Lie Algebras: Lesson 38 - Preparation for the Universal Covering Group concept In this lesson we examine another amazing connection between the algebraic properties of the Lie groups with topological properties. We will lay the foundation to understand how discrete invaria

From playlist Lie Groups and Lie Algebras

Video thumbnail

Grothendieck Pairs and Profinite Rigidity - Martin Bridson

Arithmetic Groups Topic: Grothendieck Pairs and Profinite Rigidity Speaker: Martin Bridson Affiliation: Oxford University Date: January 26, 2022 If a monomorphism of abstract groups H↪G induces an isomorphism of profinite completions, then (G,H) is called a Grothendieck pair, recalling t

From playlist Mathematics

Video thumbnail

Regular permutation groups and Cayley graphs

Cheryl Praeger (University of Western Australia). Plenary Lecture from the 1st PRIMA Congress, 2009. Plenary Lecture 11. Abstract: Regular permutation groups are the 'smallest' transitive groups of permutations, and have been studied for more than a century. They occur, in particular, as

From playlist PRIMA2009

Video thumbnail

On the pioneering works of Professor I.B.S. Passi 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

Vincent Guirardel: Natural subgroups of automorphisms

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 Algebra

Video thumbnail

Gilbert Levitt - Vertex finiteness for relatively hyperbolic groups

Gilbert Levitt (University of Caen, France) Given a finitely generated group G, we consider all splittings of G over subgroups in a fixed family (such as finite groups, cyclic groups, abelian groups). We discuss whether it is the case that only finitely many vertex groups appear, up to is

From playlist T1-2014 : Random walks and asymptopic geometry of groups.

Video thumbnail

Group actions on 1-manifolds: A list of very concrete open questions – Andrés Navas – ICM2018

Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.8 Group actions on 1-manifolds: A list of very concrete open questions Andrés Navas Abstract: Over the last four decades, group actions on manifolds have deserved much attention by people coming from different fields

From playlist Dynamical Systems and ODE

Related pages

Thompson sporadic group | Finite group | Conway group