group theory
1
7.4
- noun
- /ɡruːp ˈθɪəri/
- Specialized
:
teoría de grupos
- Many physicists rely on group theory to explain interactions in quantum mechanics.
- reference to group theory
What is an idea from group theory that you find beautiful?
- What is an idea from group theory that you find beautiful?
- And since the transition is on the center atom usually that you can classify them using group theory as allowed or forbidden.
- Rotation symmetry is much it's much more interesting, it's much more involved, and it will bring us to the subject of group theory.
- But you know, it's like group theory or something where arithmetic has.
- So if you want to do theoretical work in science, you know, you, you have to learn calculus, multi variable calculus, complex variables, group theory.
Examples
-
The problem involved group theory, and von Neumann advised him that the 1905 papers of Georg Frobenius and Issai Schur on representation theory were relevant.
Academic text (1995) -
The study of group theory is vital for understanding symmetries in mathematics.
-
What is an idea from group theory that you find beautiful?
-
One of the principles of group theory is that groups develop a set of norms that guide the group's behavior.
Academic text (2001) -
Group theory tells us that 60 is the largest number of points that can be arrayed with perfect isotropy on a sphere.
Academic text (1996) -
By 1929, Wigner had already made seminal contributions to quantum theory with his expertise in group theory (see the next article).
Academic text (1995) -
Topological equivalence classes of braids can be readily classified using group theory, whereas the classification of knots is still a difficult problem.
Academic text (1996) -
In a series of papers on atomic structure and molecular spectra, written between 1926 and 1928, Wigner laid the foundations both for the application of group theory to quantum mechanics and for the role of symmetry principles in quantum mechanics.
Academic text (1995) -
The principles of group theory offer powerful tools for solving complex mathematical problems.
How Advanced
- Specialized
- Specialized
1
7.4
- Specialized
1
5.8
- Specialized
5
3.2
- US
Surface Forms
Morphology
The meaning is compositionally built from 'group' (an entity/set of items, here a mathematical set) + 'theory' (a set of ideas or a field of study), so it literally denotes the theory/about study of groups. This noun+noun formation is a common, cross-linguistic pattern, so a B1 learner who knows the constituents can infer it refers to a (mathematical) theory of groups even if they lack specialist technical detail.
Etymology
Group theory comes from the simple image of a group — a set of things that act together, like a team doing the same moves — and theory meaning 'study' of those actions. So, group theory is the study of collections of things that follow the same rules.