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20:19
GT15. Group Actions
Abstract Algebra: Group actions are defined as a formal mechanism that describes symmetrie...
published: 23 Jan 2012
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7:23
Group Action On a Set Part1
This video gives definition of Group Action of G on a set X. It also give an example to ma...
published: 13 Sep 2011
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13:55
集団行動 group action 2011年 Japanese Precision Walking Competition
日本体育大学の史上初『女子』による集団行動。 素晴らしい女子集団行動をノーカットでどうぞ!...
published: 19 Nov 2011
author: ucchi ucchi
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7:15
Representation Theory 1, Group Action
Representation Theory 1, Group Action....
published: 08 Sep 2013
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12:56
【トリハダ集団行動】 Japanese precision (Full ver. )フルバージョン 2013年 日本体育大学 第51回体育研究発表実演会 【group action】
入場カットver.はこちら⇒http://youtu.be/zWy_BMzImnA 伝統応援「エッサッサ」はこちら⇒http://youtu.be/oOuyXKFZ8po その他動...
published: 15 Nov 2013
author: 3dogs
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10:16
Orbit of group action
Given a group action on a set X, find the orbit of an element. This is based on John Frale...
published: 23 Sep 2011
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8:53
集団行動group action 2011年Japanese Precision Walking Competition integrale
集団行動group action 2011年Japanese Precision Walking Competition musica by LeleTronica....
published: 08 Nov 2012
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8:34
Example of Group Action
Matrix Theory: Consider the set G of matrices of the form [x y \ 1 0] where x is nonzero r...
published: 21 Feb 2011
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1:30
Prison guard sex: Guantanamo detainee forced into some dirty group action
One of the longest-held prisoners at Guantanamo Bay says that he was abused and tortured d...
published: 21 Jan 2015
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7:25
Action Camera Group Test 2014
Camera Review SUBSCRIBE HERE: http://bit.ly/T4Pu6p For more Canon, Nikon & Sony Camera rev...
published: 19 May 2014
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12:33
Group Action On a Set Part 4
This video explains how to construct a faithful group action from a given group action.It ...
published: 16 Sep 2011
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4:35
Group Theory 40: Definition of group action on a set
...
published: 03 Nov 2014
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6:09
Trial Freestyle Show Action Group 2 Canobbio
http://www.showactiongroup.it .Spettacolo di Trial Sherco e Quad Polaris Piloti Canobbio F...
published: 17 Jan 2010
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9:36
Indian Special Forces - Special Action Group , National Security Guard ( NSG )
The National Security Guard (NSG) is a Special Response Unit in India that has primarily b...
published: 15 Aug 2011
author: IndiaDefence
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group action song malavika and friends kids fest 2014...
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Multi-Object Tracking: Crowd Tracking and Group Action Recognition
Prof. Mubarak Shah of the University of Central Florida discusses crowd tracking and group...
published: 07 Jul 2014
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1:13
The Dean Ween Group in Action.
Lots of Action. Total Action---A fire in Kensington, Murder in Camden, the Sixers lose at ...
published: 25 Jun 2014
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7:31
InsideOut Project Madrid Group Action
WE, THE SPANISH PEOPLE, ARE CLAIMING FOR A REAL DEMOCRACY, WHERE SOCIAL RIGHTS ARE NOT REM...
published: 15 Nov 2011
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2:09
Nine Knights MTB 2012 | MASSIVE GROUP ACTION
Enjoy the 2012 Suzuki Nine Knights Presented by G-SHOCK massive group action clip. All inf...
published: 15 Oct 2012
author: nineknights1
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23:52
Maguuma WvW Action - 05/06/14
"Hovercraft Go" - Teknoaxe (https://www.youtube.com/watch?v=8eR7gBJzxIE) "Ones and Zeroes"...
published: 10 May 2014
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5:42
Raymond Williams , BOE member threatens to damage equipment and attack VI Action Group member
This is how an individual in what VI Action Group Inc. calls “the machine” looks like whe...
published: 11 Nov 2014
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6:08
RCI Action Group - Ben Hawkins
Ben Hawkins of Litigation Management explains more about the RCI Action Group, how it affe...
published: 10 Feb 2014
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3:56
ACTION ENGLISH / AE10 - Group Action
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published: 23 Aug 2014
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4:16
Show Action Group - 38° Motoraduno Stelvio International Metzeler 2014
Show Action Group al 38° Motoraduno Stelvio International Metzeler 2014. Sergio Canobbio e...
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In algebra and geometry, a group action is a description of symmetries of objects using groups. The essential elements of the object are described by a set, and the symmetries of the object are described by the symmetry group of this set, which consists of bijective transformations of the set. In this case, the group is also called a permutation group (especially if the set is finite or not a vector space) or transformation group (especially if the set is a vector space and the group acts like linear transformations of the set).

A group action is an extension to the definition of a symmetry group in which every element of the group "acts" like a bijective transformation (or "symmetry") of some set, without being identified with that transformation. This allows for a more comprehensive description of the symmetries of an object, such as a polyhedron, by allowing the same group to act on several different sets of features, such as the set of vertices, the set of edges and the set of faces of the polyhedron.




This page contains text from Wikipedia, the Free Encyclopedia - http://en.wikipedia.org/wiki/Group_action

This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.