Symmetric Group

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symmetric group [sə′me·trik ′grüp]

(mathematics)

The group consisting of all permutations of a finite set of symbols.

Symmetric Group

A symmetric group of order n is a group consisting of all possible permutations of n objects. Such a group has n! elements. The permutations of n objects with an even number of inversions form an alternating subgroup of the symmetric group; this alternating subgroup has n!/2 elements.

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No references found			The book consists of 14 chapters arranged in five parts on quivers and their representations, quantized algebras, representations of symmetric groups, Ringel-Hall algebras, and the BLM algebra. Finite dimensional algebras and quantum groups by SciTech Book News One important instance of this kind is Ewens' distribution on the symmetric group [G. Coherent random permutations with record statistics by Gnedin, Alexander / DMTCS Proceedings Let a be a random permutation chosen uniformly over the symmetric group [[? Random permutations and their discrepancy process by Chapuy, Guillaume / DMTCS Proceedings			symbolization symclosene Syme Syme, Ronald Syme, Sir Ronald Symeon Symeon Logothetes Symeon Metaphrastes Symeon the New Theologian Symington, Stuart Symington, William Symington, William Stuart symlink Symmachia Symmachus, Quintus Aurelius symmetric symmetric chain symmetric chain decomposition symmetric compression symmetric design symmetric difference symmetric distribution symmetric encryption symmetric form Symmetric Function Symmetric Group symmetric key cryptography Symmetric LISP symmetric list Symmetric Matrix symmetric multiprocessing symmetric multiprocessor symmetric relation symmetric ripple mark symmetric space symmetric spherical triangles symmetric tensor symmetric top molecule symmetric transformation symmetrical achromat lens symmetrical alternating quantity symmetrical architecture symmetrical avalanche rectifier symmetrical band-pass filter symmetrical band-reject filter symmetrical clipper symmetrical deflection symmetrical distribution symmetrical fold symmetrical H attenuator symmetrical inductive diaphragm			Symmetric Bayes Estimation Symmetric bilinear space Symmetric Bipartite Table Symmetric block cipher Symmetric Calculi and Ludics for the Semantic Interpretation Symmetric cash matching symmetric chain symmetric chain decomposition Symmetric compression Symmetric Coupled-Resonator Filter Symmetric design Symmetric difference Symmetric difference of sets Symmetric Digital Subscriber Line Symmetric Dimethylarginine symmetric distribution Symmetric DSL Symmetric DSL Symmetric Eigenproblems Symmetric encryption symmetric form Symmetric function Symmetric Galerkin Boundary Element Method symmetric gangrene symmetric gangrene symmetric gangrene Symmetric Gaussian Distribution Symmetric Group Symmetric Group Graphical Approach Symmetric High-speed Digital Subscriber Line Symmetric Interior Penalty Galerkin Symmetric kernel Symmetric Key Client Library Symmetric key cryptography Symmetric Key Infrastructure Symmetric Key Services Markup Language symmetric lipomatosis Symmetric LISP symmetric list Symmetric List Processor Symmetric Mach-Zehnder Symmetric matrices Symmetric matrices symmetric matrix symmetric matrix Symmetric Multi Processing Symmetric Multi-Processor Symmetric Multi-Processor Symmetric multiprocessing Symmetric multiprocessing Symmetric multiprocessing Symmetric multiprocessing Symmetric multiprocessor Symmetric NAT symmetric orientation Symmetric Pareto Symmetric Phase Only Filtering Symmetric Phase Shift Keying

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