group theory
noun
: a branch of mathematics concerned with finding all mathematical groups and determining their properties
Example Sentences
Recent Examples on the Web This is part of a field of abstract algebra called group theory, which studies symmetry. 
Eugenia Cheng, WSJ, 4 Aug. 2022 The diagrams that bell-ringers use to indicate a scheme of changes strongly resemble diagrams in group theory. Eugenia Cheng, WSJ, 4 Aug. 2022 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, BostonGlobe.com, 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 See More
Eugenia Cheng, WSJ, 4 Aug. 2022 The diagrams that bell-ringers use to indicate a scheme of changes strongly resemble diagrams in group theory. Eugenia Cheng, WSJ, 4 Aug. 2022 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, BostonGlobe.com, 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 See More Word History
First Known Use
1888, in the meaning defined above