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group action

Defines: 
effective, effective group action, faithful, faithful group action, transitive, transitive group action, left action, right action, faithfully, action, act on, acts on
Type of Math Object: 
Definition
Major Section: 
Reference
Groups audience: 

Mathematics Subject Classification

16W22 no label found20M30 no label found

Comments

On PlanetMath are defined group actions.

In the book "Abstract and Concrete Categories" (http://katmat.math.uni-bremen.de/acc/acc.pdf) I found the definition of monoid actions. Are these a generalization of group actions? Should "monoid action" be added to the encyclopedia?
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Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis

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