Group Action (other)
Group action may refer to: * Group action (mathematics) * Group action (sociology) See also *Action group (other) *Class action, a type of lawsuit *Collective action Collective action refers to action taken together by a group of people whose goal is to enhance their condition and achieve a common objective. It is a term that has formulations and theories in many areas of the social sciences including psych ...

Group Action (mathematics)
In mathematics, a group action on a space is a group homomorphism of a given group into the group of transformations of the space. Similarly, a group action on a mathematical structure is a group homomorphism of a group into the automorphism group of the structure. It is said that the group ''acts'' on the space or structure. If a group acts on a structure, it will usually also act on objects built from that structure. For example, the group of Euclidean isometries acts on Euclidean space and also on the figures drawn in it. For example, it acts on the set of all triangles. Similarly, the group of symmetries of a polyhedron acts on the vertices, the edges, and the faces of the polyhedron. A group action on a vector space is called a representation of the group. In the case of a finite-dimensional vector space, it allows one to identify many groups with subgroups of , the group of the invertible matrices of dimension over a field . The symmetric group acts on any set wit ...
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Group Action (sociology)
In sociology, a group action is a situation in which a number of agents take action simultaneously in order to achieve a common goal; their actions are usually coordinated. Group action will often take place when social agents realize they are more likely to achieve their goal when acting together rather than individually. Group action differs from group behaviours, which are uncoordinated, and also from mass actions, which are more limited in place. Group action is more likely to occur when the individuals within the group feel a sense of unity with the group, even in personally costly actions. See also * Affectional action *Collective action *Collective effervescence *Instrumental and value-rational action *Interpersonal relationship *Political movement *Social movement *Social relation *Socionics *Traditional action A tradition is a belief or behavior (folk custom) passed down within a group or society with symbolic meaning or special significance with origins in t ...
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Action Group (other)
Action Group may refer to: * Action group (sociology), or task group, a group of people joined temporarily to accomplish some task or take part in some organized collective action * Action Group (Nigeria), a Nigerian political party established in Ibadan on March 21, 1951, by Chief Obafemi Awolowo * Action (group theory), a way of describing symmetries of objects using groups * Action Group (conglomerate) Action Group is an industrial conglomerate and manufacturer of the Action Shoes brand. Various subsidiaries Action Shoes is the most widely known business of the group. The group started from the shoe manufacturing industry and upon its succe ..., a business conglomerate based in India founded by Lala Mange Ram Agarwal * Another name for a task group or military task force See also * Group action (other) {{disambiguation ...
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Class Action
A class action, also known as a class-action lawsuit, class suit, or representative action, is a type of lawsuit where one of the parties is a group of people who are represented collectively by a member or members of that group. The class action originated in the United States and is still predominantly a US phenomenon, but Canada, as well as several European countries with civil law, have made changes in recent years to allow consumer organizations to bring claims on behalf of consumers. Description In a typical class action, a plaintiff sues a defendant or a number of defendants on behalf of a group, or class, of absent parties. This differs from a traditional lawsuit, where one party sues another party, and all of the parties are present in court. Although standards differ between states and countries, class actions are most common where the allegations usually involve at least 40 people who the same defendant has injured in the same way. Instead of each damaged person brin ...
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