Subgroup series

Subgroup series

In mathematics, specifically group theory, a subgroup series of a group is a chain of subgroups: where is the trivial subgroup. Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and can be invariantly defined and are important invariants of groups. A subgroup series is used in the subgroup method. Subgroup series are a special example of the use of filtrations in abstract algebra. (Wikipedia).

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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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Definition of a Subgroup in Abstract Algebra with Examples of Subgroups

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Subgroup in Abstract Algebra with Examples of Subgroups

From playlist Abstract Algebra

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Abstract Algebra | Normal Subgroups

We give the definition of a normal subgroup and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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3_1 Introduction to Series

Introductory talk on series. Defining a series as a sequence of partial sums.

From playlist Advanced Calculus / Multivariable Calculus

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Abstract Algebra | Cyclic Subgroups

We define the notion of a cyclic subgroup and give a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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GT2. Definition of Subgroup

Abstract Algebra: We define the notion of a subgroup and provide various examples. We also consider cyclic subgroups and subgroups generated by subsets in a given group G. Example include A4 and D8. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-

From playlist Abstract Algebra

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Definition of a Subgroup and Proof that the Kernel is a Subgroup

We define what it means for H to be a subgroup of G and give clear criteria which you can follow in order to prove that a given subset is a subgroup. Then we prove that the kernel of f is a subgroup of G. I hope this helps someone learning abstract algebra. Useful Math Supplies https://am

From playlist Group Theory Problems

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(New Version Available) Arithmetic Series

New Version: https://youtu.be/GZH68SubgRE This video introduces arithmetic series. http://mathispower4u.yolasite.com/

From playlist Sequences and Series

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Martin Bridson - Subgroups of direct products of surface groups

After reviewing what is known about subgroups of direct products of surface groups and their significance in the story of which groups are Kähler, I shall describe a new construction that provides infinite families of finitely presented subgroups. These subgroups have varying higher-finite

From playlist Geometry in non-positive curvature and Kähler groups

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Hausdorff dimensions in p-adic analytic groups by Anitha Thillaisundaram

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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Imprimitive irreducible representations of finite quasisimple groups by Gerhard Hiss

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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Free Group Rings by I. B. S. Passi

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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GAP - 4 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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Anderson Vera - A double Johnson filtration for the mapping class group

38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Anderson Vera, Pohang University of Science and Technology (POSTECH - BK21 FOUR Mathematical Sciences Division) Title: A double Johnson filtration for the mapping class group and the Goeritz group of the sphere Abstract: I

From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

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Yanli Song: K-theory of the reduced C*-algebra of a real reductive Lie group

Talk by Yanli Song in Global Noncommutative Geometry Seminar (Americas) on January 28, 2022 in https://globalncgseminar.org/talks/tba-23/

From playlist Global Noncommutative Geometry Seminar (Americas)

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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

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Representations of finite groups of Lie type (Lecture 1) by Dipendra Prasad

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 fun

From playlist Group Algebras, Representations And Computation

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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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Representations of p-adic reductive groups by Tasho Kaletha

PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will

From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)

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Derived series | Group extension | Chief series | Polycyclic group | Free group | Lattice (order) | Upper p-series | Group (mathematics) | Artinian ring | Filtration (mathematics) | Finitely generated group | Prüfer group | Subgroup method | Total order | Trivial group | Schreier refinement theorem | Limit ordinal | Group isomorphism | Maximal subgroup | Ascending chain condition | Quotient group | Empty set | Ordinal number | Lower p-series | Simple group | Composition series | Natural number | Mathematics | Integer | Nilpotent group | Noetherian ring | Group theory | Normal subgroup | Ring (mathematics) | Bijection | Central series | Subgroup | Abstract algebra | Group homomorphism | Solvable group | Sylow subgroup | Abelian group | Image (mathematics)