group theory
"Group theory" is a crucial branch of abstract algebra with applications in many scientific disciplines such as physics, chemistry, and computer science.
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Definition
C1Mathematics
(technical, academic)The study of sets equipped with an operation that satisfies closure, associativity, identity, and invertibility.
Example
- In group theory, the set of integers with addition as the operation forms a group.
- Group theory helps in understanding the symmetry properties of physical systems.
Similar
Terms that have similar or relatively close meanings to "group theory":
group actioninvariant theoryadditive groupfield theorygroup dynamicsuser grouplattice theoryscheme theorygraph theoryalgebraic structuresystems theoryset theory