Article
Article
Group theory
Article By:
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
DOI:https://doi.org/10.1036/1097-8542.301400
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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