Finite groups | Mathematical tables

List of small groups

The following list in mathematics contains the finite groups of small order up to group isomorphism. (Wikipedia).

List of small groups
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Simple Groups - Abstract Algebra

Simple groups are the building blocks of finite groups. After decades of hard work, mathematicians have finally classified all finite simple groups. Today we talk about why simple groups are so important, and then cover the four main classes of simple groups: cyclic groups of prime order

From playlist Abstract Algebra

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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

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Teach Astronomy - Galaxy Groups

http://www.teachastronomy.com/ The typical cosmic environment for a galaxy is actually a group. A group can consist of more then two galaxies up to a few dozen galaxies. Usually there are a handful of large galaxies and a few dozen small galaxies or dwarfs because in any typical region o

From playlist 20. Galaxy Interaction and Motion

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Subgroups 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

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What is Group Theory?

This video contains the origins of group theory, the formal definition, and theoretical and real-world examples for those beginning in group theory or wanting a refresher :)

From playlist Summer of Math Exposition Youtube Videos

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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

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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

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Welcome - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

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Quotient group example

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

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GAP - 1 by Alexander Hulpke

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

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Bootstrap Tutorial

Get the Cheat Sheet Here : http://goo.gl/M5G7wj ❇️ LIVESTREAMS : https://www.twitch.tv/derekbanas ❇️ DISCORD : https://discord.gg/2dkDmpVvgD ( Contact Me Anytime ) MY UDEMY COURSES ARE 87.5% OFF TIL December 19th ($9.99) ONE IS FREE ➡️ Python Data Science Series for $9.99 : Highest Rat

From playlist Learn in One Video

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Bettina EICK - Computational group theory, cohomology of groups and topological methods 4

The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

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GAP - 2 by Alexander Hulpke

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

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Minority influence and social change | Revision for A-Level Psychology

I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. A-Level Maths Courses, FREE revision guide and wor

From playlist WJEC A-Level Psychology Playlist

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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

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Nexus Trimester - John Walsh (Drexel University)

Rate Regions for Network Coding: Computation, Symmetry, and Hierarchy John Walsh (Drexel University) February 17, 2016 Abstract: This talk identifies a number of methods and algorithms we have created for determining fundamental rate regions and efficient codes for network coding proble

From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme

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How do you assemble a cladogram or phylogenetic tree using fossils?

Lecture 06: Invertebrate Paleontology and Paleobotany Invertebrate Paleontology and Paleobotany is a graduate level course in paleontology at Utah State University, which covers the major groups of marine invertebrates, fossil plants, and the important techniques and tools used in the fie

From playlist Utah State University: Invertebrate Paleontology and Paleobotany (CosmoLearning Geology)

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Evaluate this conclusion... Exam Skills for A level Biology

I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Tutoring - We can match you with an experienced t

From playlist Oxford AQA International A-Level Chemistry | Revision Playlist

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Visual Group Theory, Lecture 1.6: The formal definition of a group

Visual Group Theory, Lecture 1.6: The formal definition of a group At last, after five lectures of building up our intuition of groups and numerous examples, we are ready to present the formal definition of a group. We conclude by proving several basic properties that are not built into t

From playlist Visual Group Theory

Related pages

Elementary abelian group | Group action | Order (group theory) | Abelian group | Iwasawa group | Klein four-group | Small Latin squares and quasigroups | Tetrahedral symmetry | Up to | Identity element | Isometry group | Permutation | Additive group | Fano plane | Sylow theorems | Cycle graph (algebra) | Frobenius group | Symmetric group | Trivial group | Group isomorphism | Alternating group | Normal p-complement | Factorial | Lattice of subgroups | Quotient group | Finite group | Simple group | Direct product of groups | Composition series | Classification of finite simple groups | Dihedral group | Mathematics | Octahedral symmetry | P-group | Point groups in three dimensions | Semidirect product | Nilpotent group | Cyclic group | Normal subgroup | Quaternion group | Dihedral group of order 6 | Pauli group | Prime power | List of finite simple groups | Binary dihedral group | Prime number | Special linear group | Subgroup | Parity (mathematics) | Binary tetrahedral group | Sylow subgroup | Presentation of a group | Computer algebra system | Quasidihedral group | Dicyclic group