P-groups | Theorems in group theory

Focal subgroup theorem

In abstract algebra, the focal subgroup theorem describes the fusion of elements in a Sylow subgroup of a finite group. The focal subgroup theorem was introduced in and is the "first major application of the transfer" according to . The focal subgroup theorem relates the ideas of transfer and fusion such as described in. Various applications of these ideas include local criteria for p-nilpotence and various non-simplicity criteria focussing on showing that a finite group has a normal subgroup of index p. (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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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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Orbit stabilizer theorem

Notwithstanding the fact that I introduce the topic as the orbit stabilizer syndrome, this video takes you through the orbit stabilizer theorem. :-) It states that the number of cosets formed by the stabilizer of a group (called the index) is the same as the number of elements in the orbi

From playlist Abstract algebra

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Group Theory: The Center of a Group G is a Subgroup of G Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Theory: The Center of a Group G is a Subgroup of G Proof

From playlist Abstract Algebra

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Visual Group Theory, Lecture 5.2: The orbit-stabilizer theorem

Visual Group Theory, Lecture 5.2: The orbit-stabilizer theorem Suppose a group G acts on a set S. The orbit of s in S is the collection of states (in S) reachable from s. The stablizer of s is the set of elements (in G) that fix s. The orbit-stabilizer theorem says that |G|=|Orb(s)|*|Stab

From playlist Visual Group Theory

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Michael Wibmer: Etale difference 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

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The Centralizer is a Subgroup Proof

The Centralizer is a Subgroup Proof

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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Denis Osin: Acylindrically hyperbolic groups (part 1)

The lecture was held within the framework of Follow-up Workshop TP Rigidity. 28.4.2015

From playlist HIM Lectures 2015

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One parameter diagonal group action on homogeneous space (Lecture - 02) by Ronggang Shi

Program Probabilistic Methods in Negative Curvature ORGANIZERS: Riddhipratim Basu, Anish Ghosh and Mahan Mj DATE: 11 March 2019 to 22 March 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore The focal area of the program lies at the juncture of three areas: Probability theory o

From playlist Probabilistic Methods in Negative Curvature - 2019

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Quadratic forms and homogeneous dynamics by Anish Ghosh

Probabilistic Methods in Negative Curvature ORGANIZERS: Riddhipratim Basu, Anish Ghosh and Mahan Mj DATE: 11 March 2019 to 22 March 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore The focal area of the program lies at the juncture of three areas: Probability theory of random wa

From playlist Probabilistic Methods in Negative Curvature - 2019

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Proper Actions and Representation Theory Part 2

Professor Toshiyuki Kobayashi, University of Tokyo, Japan

From playlist Distinguished Visitors Lecture Series

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One parameter diagonal group action on homogeneous space by Ronggang Shi

Program Probabilistic Methods in Negative Curvature ORGANIZERS: Riddhipratim Basu, Anish Ghosh and Mahan Mj DATE: 11 March 2019 to 22 March 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore The focal area of the program lies at the juncture of three areas: Probability theory o

From playlist Probabilistic Methods in Negative Curvature - 2019

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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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On growth of homology in finite coverings - Thang Le

Thang Le, Georgia Tech October 5, 2015 http://www.math.ias.edu/wgso3m/agenda 015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic

From playlist Workshop on Geometric Structures on 3-Manifolds

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Mark Sapir: On subgroups of the R. Thompson group F

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

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Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard

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

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Centralizer of a set in a group

A centralizer consider a subset of the set that constitutes a group and included all the elements in the group that commute with the elements in the subset. That's a mouthful, but in reality, it is actually an easy concept. In this video I also prove that the centralizer of a set in a gr

From playlist Abstract algebra

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Yongle Jiang, Some results on continuous orbit equivalence rigidity

Global Noncommutative Geometry Seminar(Asia-Pacific), Oct. 11, 2021

From playlist Global Noncommutative Geometry Seminar (Asia and Pacific)

Related pages

Order (group theory) | Modular representation theory | Upper p-series | Reflective subcategory | Index of a subgroup | Algebraic topology | Homotopy theory | Simple group | Split exact sequence | Finite group | Equivariant cohomology | Alperin–Brauer–Gorenstein theorem | Dihedral group | P-group | Normal subgroup | Category theory | P-core | Abstract algebra | Sylow subgroup | Hall subgroup | Abelian group