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permutation group
(redirected from Permutation groups)

   Also found in: Wikipedia 0.03 sec.
permutation group [‚pər·myə′tā·shən ‚grüp]
(mathematics)
The group whose elements are permutations of some set of symbols where the product of two permutations is the permutation arising from successive application of the two. Also known as substitution group.


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Writing in a style that attempts to preserve the informal flavor of the classroom, Isaacs (mathematics, University of Wisconsin) covers subnormality, split extensions, commutators, Frobenius actions, and permutation groups.
The same conclusion was obtained first for orbits of finite permutation groups by Livingstone and Wagner, 1965 [25], and extended to arbitrary permutation groups by Cameron, 1976 [3].
Divisibility * Groups * Group Homomorphisms * Introduction to Rings * The Familiar Number Systems * Polynomials * Quotient Rings * Galois Theory: Overview * Galois Theory * Geometric Constructions * Solvable and Alternating Groups * Applications of Permutation Groups * Symmetry * Lattices and Boolean Algebras For more information visit http://www.
 
 
 
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