group action

noun

A mapping of a mathematical group to the permutations of an object that is compatible with the group operation.

Meanings

noungroup action (countable and uncountable, plural group actions)

plural group actions

  1. countableuncountablegroup theoryA mapping of a mathematical group to the permutations of an object that is compatible with the group operation.
  2. countableuncountablehuman sciencesA situation in which a large number of agents take action simultaneously in order to achieve a common goal; their actions are usually coordinated.

Translations

Chinese Mandarin 群作用, 集體行動 /集体行动
  • 群作用 (qún zuòyòng)a mapping of a mathematical group
  • 集體行動 /集体行动 (jítǐ xíngdòng)situation in which a large number of agents take action simultaneously
Finnish ryhän toiminta
  • ryhän toimintaa mapping of a mathematical group
French action de groupe
  • action de groupea mapping of a mathematical group
German Gruppenaktion, Gruppenoperation
  • Gruppenaktiona mapping of a mathematical group
  • Gruppenoperationa mapping of a mathematical group
  • Gruppenwirkunga mapping of a mathematical group
Icelandic grúpuverkun, verkun grúpu
  • grúpuverkuna mapping of a mathematical group
  • verkun grúpua mapping of a mathematical group
Japanese 群作用
  • 群作用 (gun sayō)a mapping of a mathematical group
Russian де́йствие гру́ппы
  • де́йствие гру́ппы (déjstvije grúppy)a mapping of a mathematical group
Swedish gruppverkan
  • gruppverkana mapping of a mathematical group
Cite this entry
APA

group action. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/group%20action

MLA

“group action.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/group%20action. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “group action,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/group%20action.

Source: group action on Wiktionary, CC BY-SA 4.0.