Permutation Group

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High Quality Content by WIKIPEDIA articles! 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 relationship is often written as G,M. Note that the group of all permutations of a set is the symmetric group; the term permutation group is usually restricted to mean a subgroup of the symmetric group. The symmetric group of n elements is denoted by Sn; if M is any finite or infinite set, then the group of all permutations of M is often written as Sym M. The application of a permutation group to the elements being permuted is called its group action; it has applications in both the study of symmetries, combinatorics and many other branches of mathematics, physics and chemistry.
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Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130333829
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B150mm x T6mm
    • Jahr 2010
    • EAN 9786130333829
    • Format Kartonierter Einband
    • ISBN 978-613-0-33382-9
    • Titel Permutation Group
    • Untertitel Permutation Group, Mathematics, Combinatorics, Group Mathematics, Bijection, Symmetric Group, Subgroup, Cartan Subgroup, Fitting Subgroup, Group with Operators
    • Gewicht 159g
    • Herausgeber Betascript Publishers
    • Anzahl Seiten 96
    • Genre Mathematik

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