symmetric group

noun

A group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections.

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Meanings

nounsymmetric group (plural symmetric groups)

plural symmetric groups

  1. mathematicsA group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections.

Synonyms & antonyms

Also see
automorphism group

Translations

Finnish symmetrinen ryhmä
  • symmetrinen ryhmämathematics: a group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections
Icelandic samhverf grúpa
  • samhverf grúpamathematics: a group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections
Polish grupa bijekcji, grupa symetryczna
  • grupa bijekcjimathematics: a group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections
  • grupa symetrycznamathematics: a group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections
Cite this entry
APA

symmetric group. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/symmetric%20group

MLA

“symmetric group.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/symmetric%20group. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “symmetric group,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/symmetric%20group.

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