group theory

English - Turkish

Definition of group theory in English Turkish dictionary: grup teorisi; (Politika, Siyaset) grup kuramı; öbekler kuramı; gruplar teorisi
one group theory: (Nükleer Bilimler) tek grup teorisi

English - English

Definition of group theory in English English dictionary: The mathematical theory of groups; The branch of mathematics concerned with groups and the description of their properties. In modern algebra, a system consisting of a set of elements and an operation for combining the elements, which together satisfy certain axioms. These require that the group be closed under the operation (the combination of any two elements produces another element of the group), that it obey the associative law, that it contain an identity element (which, combined with any other element, leaves the latter unchanged), and that each element have an inverse (which combines with an element to produce the identity element). If the group also satisfies the commutative law, it is called a commutative, or abelian, group. The set of integers under addition, where the identity element is 0 and the inverse is the negative of a positive number or vice versa, is an abelian group. See also field theory; the branch of mathematics dealing with groups

group theory

Hyphenation

group the·o·ry

grup thiıri

/ˈgro͞op ˈᴛʜēərē/ /ˈɡruːp ˈθiːɜriː/

History

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