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group theory

American  

noun

  1. the branch of mathematics that deals with the structure of mathematical groups and mappings between them.


group theory Scientific  
  1. The branch of mathematics concerned with groups and the description of their properties.


Etymology

Origin of group theory

First recorded in 1895–1900

Example Sentences

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See Examples For:

In the mathematical study of symmetry, or group theory, one such number—important in string theory—is fittingly named “the monster group”: 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000.

From The Wall Street Journal May 29, 2026

When Loving, whose research focuses on low-dimensional topology and geometric group theory, was in graduate school, she says, she “felt like I literally couldn’t win.”

From Scientific American Aug. 12, 2021

In some areas, like group theory or combinatorics, this link is very specific and direct.

From Salon Sep. 20, 2020

John Horton Conway was one of the most versatile mathematicians of the past century, who made influential contributions to group theory, analysis, topology, number theory, geometry, algebra and combinatorial game theory.

From Nature May 22, 2020

No, the theory of functions, the theory of numbers, group theory, have a significance which no mathematician would consent to measure in terms of the present applicability or non-applicability of these theories in physical science?

From International Congress of Arts and Science, Volume I Philosophy and Metaphysics by Various

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