Wightman, Arthur S. Formerly, Department of Physics, Joseph Henry Laboratories, Princeton University, Princeton, New Jersey.
Wilczek, Frank Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts. Nobelist.
Last reviewed:June 2020
- Four requirements on group operation
- Associative law
- Existence of an identity element
- Existence of inverses
- Topological groups
- Applications to physical sciences
- Reduction of variables
- Guide to new laws
- Applications within mathematics
- Analytic functions
- Structure of groups
- Related Primary Literature
- Additional Reading
Any set of elements which is equipped with an operation (called multiplication) satisfying the requirements (1), (2), (3), and (4) is called a group. Group theory is the branch of mathematics devoted to the properties of groups. Group theory has applications in many branches of physical sciences, and in some branches of algebra and in analytic function theory.
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