group action
"Group action" has dual significance in mathematics and sociology, describing coordinated efforts in both fields.
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Definition
C2Mathematics
(technical, academic)A function that describes how a group of transformations acts on a set, ensuring each transformation is consistent with the group's operations.
Example
- The group action of the symmetric group on a set involves permuting its elements.
- Matrix multiplication can be seen as a group action on a vector space.
B2Sociology
(academic)A coordinated effort by a group of individuals aiming to achieve a shared goal.
Example
- The protest was a group action to demand policy changes.
- Environmental conservation efforts often require group action.
Similar
Terms that have similar or relatively close meanings to "group action":
action groupgroup theoryuser groupdirect actiongroup dynamicsin actionadditive groupfunctional groupworking groupaction point