Definition of Group theory

1. Noun. The branch of mathematics dealing with groups.

Category relationships: Math, Mathematics, Maths
Generic synonyms: Pure Mathematics
Specialized synonyms: Galois Theory

Definition of Group theory

1. Noun. (mathematics) The mathematical theory of groups. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Group Theory

group purchasing
group reaction
group ring
group specific antigen
group specific antigens
group stage
group structure
group test
group theoretic
group theoretical
group theoretician
group theoreticians
group theorist
group theorists
group theory (current term)
group therapy
group transfer
group translocation
group velocity
groupable
groupage
groupages
groupalities
groupality
groupe
grouped
grouper
groupers
groupetto

Literary usage of Group theory

Below you will find example usage of this term as found in modern and/or classical literature:

1. Development of Mathematics in the 19th Century by Felix Klein, Robert Hermann (1979)
"Still it seems useful to first devote a few remarks to group theory as such. ... General attention was first directed to group theory as an indispensable ..."

2. Cartanian Geometry, Nonlinear Waves, and Control Theory by Robert Hermann (1979)
"NOTATION OF THE THEORY OF DIFFERENTIABLE MANIFOLDS AND LIE group theory In order to keep this paper within bounds and proceed as quickly as possible to the ..."

3. Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups by John Edward Campbell (1903)
"Restatement of problem at this stage; origin of Lie's group-theory 99 83. Simplification and further restatement .... 100 84. Maximum sub-group of group ..."

4. Lectures on the Ikosahedron and the Solution of Equations of the Fifth Degree by Felix Klein (1888)
"We now return to the group-theory question, to which we were led at the beginning of § 8. The linear substitutions of the B's are, at all events, ..."

5. Science by American Association for the Advancement of Science (1904)
"To pass at once to another, and a very different instance: The modern mathematical conceptions of what is called group theory have already received very ..."

6. Science by American Association for the Advancement of Science (1899)
"It is readily proven by the group theory that all invariants and covariants are expressible in terms of a finite number of them. [NS VOL. IX. No. 211. ..."

7. Catalogue of Scientific Papers, 1800-1900: Subject Indexby Royal Society (Great Britain), Herbert McLeod by Royal Society (Great Britain), Herbert McLeod (1908)
"Isomorphism, double, in group theory. Frattini, G. Bm. B. Ac. Lino. ... Magic squares, application to group theory. Maillet, E. Toul. ..."

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