What does permutation group mean?
Definitions for permutation group
per·mu·ta·tion group
This dictionary definitions page includes all the possible meanings, example usage and translations of the word permutation group.
Wikipedia
Permutation group
In mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself). The group of all permutations of a set M is the symmetric group of M, often written as Sym(M). The term permutation group thus means a subgroup of the symmetric group. If M = {1,2,...,n} then, Sym(M), the symmetric group on n letters is usually denoted by Sn. By Cayley's theorem, every group is isomorphic to some permutation group. The way in which the elements of a permutation group permute the elements of the set is called its group action. Group actions have applications in the study of symmetries, combinatorics and many other branches of mathematics, physics and chemistry.
Numerology
Chaldean Numerology
The numerical value of permutation group in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of permutation group in Pythagorean Numerology is: 4
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"permutation group." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/permutation+group>.
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