group theory


Definition of group theory

: a branch of mathematics concerned with finding all mathematical groups and determining their properties

Examples of group theory in a Sentence

Recent Examples on the Web But almost exactly a hundred years before the Rubik's cube, the same thing happened with another toy that was an interesting group theory problem. Jennifer Ouellette, Ars Technica, 6 Apr. 2022 Galois groups were the first instances of the concept of a group, and Galois’ ideas blossomed into what today is a powerful, ubiquitous area of research called group theory. Quanta Magazine, 3 Aug. 2021 Whether there’s a distinction or not, the relationship between particle physics and group theory grew both richer and more complicated over the course of the 20th century. Quanta Magazine, 12 Nov. 2020 Representation theory creates a bridge between group theory and linear algebra by assigning a matrix to each element in a group, according to certain rules. Quanta Magazine, 9 June 2020 John Conway’s boundless curiosity produced profound contributions to number theory, game theory, coding theory, group theory, knot theory, topology, probability theory, algebra, analysis, combinatorics, and more. Siobhan Roberts,, 19 Apr. 2020 This work raises the intriguing question of whether an innate capability to recognize different quantities—that two pieces of fruit are greater than one—is the biological foundation on which can be built the capacity to master group theory. Jordana Cepelewicz, Scientific American, 12 Apr. 2016 The question has to be asked about all great mathematicians who died young (notably Évariste Galois, inventor of group theory, who died at 20 in a gun duel). Quanta Magazine, 14 July 2016 See More

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'group theory.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

Keep scrolling for more

First Known Use of group theory

1888, in the meaning defined above

Keep scrolling for more

Learn More About group theory

Time Traveler for group theory

Time Traveler

The first known use of group theory was in 1888

See more words from the same year

Dictionary Entries Near group theory

group test

group theory

group therapy

See More Nearby Entries 

Statistics for group theory

Last Updated

19 Apr 2022

Cite this Entry

“Group theory.” Dictionary, Merriam-Webster, Accessed 22 May. 2022.

Style: MLA
MLACheck Mark Icon ChicagoCheck Mark Icon APACheck Mark Icon Merriam-WebsterCheck Mark Icon

More from Merriam-Webster on group theory Encyclopedia article about group theory


Test Your Vocabulary

Name That Food

  • a-light
  • Name these cookies!
How Strong Is Your Vocabulary?

Test your vocabulary with our 10-question quiz!

Universal Daily Crossword

A daily challenge for crossword fanatics.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!