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bn:02255049n
Noun Concept
Categories: Symmetry, Permutation groups, Finite reflection groups
EN
symmetric group  infinite symmetric group  order reversing permutation  S4 group  transitive subgroup
EN
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. Wikipedia
Definitions
Relations
Sources
EN
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. Wikipedia
A group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections. Wiktionary
Mathematics: a group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections. Wiktionary (translation)
IS A
automorphism group
HAS PART
alternating group
HAS KIND
braid group
HAS INSTANCE
dihedral group of order 6
Z2
affine symmetric group
DIFFERENT FROM
symmetry group
HAS PARTS OF THE CLASS
permutation
Wikipedia
EN
symmetric group
Wikidata
EN
symmetric group
Wiktionary
EN
symmetric group
Wikipedia Redirections
EN
infinite symmetric group, order reversing permutation, S4 group, transitive subgroup

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