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

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

On Wednesday, Ono discoursed on group theory and theorems of Lagrange and Fermat as students watched him sketch, with a sure and rapid hand, the symbols of high-level math.

From Washington Post • Mar. 27, 2020

In 2013, he was awarded the Wolf Prize in Mathematics for his contribution to geometry and Lie group theory.

From New York Times • Oct. 7, 2018

Quite lately, however, there are signs that group theory will soon prove to be of importance for the definition of some of the fundamental concepts of that most refractory branch of philosophical inquiry, æsthetics.

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