Group Theory, permutations formula
A permutation group is a finite group G whose elements are permutations of a given set and whose group operation is composition of permutations in G. Permutation groups have orders dividing n!. “
Permutation groups resources
This page includes pointers to Web-based resources for permutation groups and related topics in group theory, combinatorics, etc.
The study of groups. Gauss developed but did not publish parts of the mathematics of group theory, but Galois is generally considered to have been the first to develop the theory. Group theory is a powerful formal method for analyzing abstract and physical systems in which symmetry is present and has surprising importance in physics, especially quantum mechanics.
From the page: “Theory Group
The Theory Group was founded in 1997 by Jennifer T. Chayes and Christian Borgs. We work on fundamental problems in mathematics and theoretical computer science, interact extensively with the academic community and collaborate with other researchers at MSR on challenging applied problems. Among the areas of expertise we have are probability theory, combinatorics, statistical physics, metric geometry, fractals, algorithms and optimization.”