Phrase guide

symmetric group

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

4 source translations are retained for this English entry.

  • Finnish: symmetrinen ryhmä — mathematics: 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 — mathematics: 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 — mathematics: 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 symetryczna — mathematics: a group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections