Phrase guide

group theory

noun · 3 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.

Sound

Pronunciation

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1

noun

Meaning 1

The mathematical theory of groups.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable, usually

Topics: algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

Used other than figuratively or idiomatically: see group, theory; a theory about (particular kinds of) groups.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable, usually

Examples

  • 2007, Hedley G. Dimock, Rachel R. Kass, How to Observe Your Group, Captus Press, 4th Edition, page 3, After you have read over the seven group theories you'll be clearer about what makes the most sense to you for the groups with which you want to use your observation skills.
  • 2012, Stéphanie Delaune, Steve Kremer, Daniel Pasaila, Security Protocols, Constraint Systems, and Group Theories, Bernhard Gramlich, Dale Miller, Ulrike Sattler (editors), Automated Reasoning: 6th International Joint Conference, Springer, LNAI 7364, page 165, In particular we study the case where cryptographic primitives are modelled using a group theory. Group theories are a special case of monoidal theories which have been extensively studied by F. Baader and W. Nutt [20,6] who have provided a complete survey of unification in these theories. Group theories include theories for exclusive or and Abelian groups.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

noun

Meaning 3

the branch of mathematics dealing with groups

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: pure mathematics

Narrower terms: Galois theory

History

Etymology

No etymology was provided for this word.

Across languages

Translations

22 source translations are retained for this English entry.

  • Chinese Mandarin: 群論 /群论 (qúnlùn) — mathematical theory of groups
  • Estonian: rühmateooria — mathematical theory of groups
  • Finnish: ryhmäteoria — mathematical theory of groups
  • French: théorie des groupes — mathematical theory of groups
  • German: Gruppentheorie — mathematical theory of groups
  • Hindi: समूह सिद्धांत (samūh siddhānt) — mathematical theory of groups
  • Hungarian: csoportelmélet — mathematical theory of groups
  • Icelandic: grúpufræði — mathematical theory of groups
  • Italian: teoria dei grupp — mathematical theory of groups
  • Japanese: 群論 (gunron) — mathematical theory of groups
  • Kazakh: топтар теориясы (toptar teoriäsy) — mathematical theory of groups
  • Korean: 군론 (gullon) — mathematical theory of groups
  • Latin: theoria catervarum — mathematical theory of groups
  • Malay: teori kumpulan — mathematical theory of groups
  • Polish: teoria grup — mathematical theory of groups
  • Portuguese: teoria dos grupos — mathematical theory of groups
  • Serbo-Croatian: teorija grupa — mathematical theory of groups
  • Spanish: teoría de grupos — mathematical theory of groups
  • Swedish: gruppteori — mathematical theory of groups
  • Tamil: குலக் கோட்பாடு (kulak kōṭpāṭu) — mathematical theory of groups
  • Thai: ทฤษฎีกรุป — mathematical theory of groups
  • Vietnamese: lý thuyết nhóm — mathematical theory of groups