group theory

noun

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 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, "What Is a Particle?," 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, "The ‘Useless’ Perspective That Transformed Mathematics," 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, BostonGlobe.com, "John Horton Conway, a ‘magical genius’ in math, dies at 82," 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, "How Does a Mathematician's Brain Differ from That of a Mere Mortal?," 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, "Three Puzzles Inspired by Ramanujan," 14 July 2016

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.

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First Known Use of group theory

1888, in the meaning defined above

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The first known use of group theory was in 1888

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Last Updated

13 Jan 2021

Cite this Entry

“Group theory.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/group%20theory. Accessed 19 Jan. 2021.

More from Merriam-Webster on group theory

Britannica.com: Encyclopedia article about group theory

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