symmetric group

group of bijective automorphisms of a set, also called bijective group: the group of bijections on a set (the group of all its permutations), whose group operation is function composition
rdfs:label
"symmetric group"@en
skos:altLabel
"bijective group"@en
schema:description
"group of bijective automorphisms of a set, also called bijective group: the group of bijections on a set (the group of all its permutations), whose group operation is function composition"@en
schema:dateModified "2026-09-30T03:05:35+00:00"^^xsd:dateTime
schema:version 2551131456
wikibase:identifiers 18
wikibase:sitelinks 29
wikibase:statements 26
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p:direct-normalized/P244 <http://id.loc.gov/authorities/names/sh85131444>
p:direct-normalized/P268 <http://data.bnf.fr/ark:/12148/cb12364813q#about>
p:direct-normalized/P508 <http://purl.org/bncf/tid/53097>
p:direct-normalized/P6366 <https://makg.org/entity/128622974>
wdt:P10283 "C128622974"
wdt:P12888 "df-symg"
wdt:P12987 "group.symmetric"
wdt:P13591 "concept/588eaf24-c020-4b35-b9d4-2d0a761a0c66"
wdt:P1889 permutation group
symmetry group
wdt:P244 "sh85131444"
wdt:P2670 permutation
wdt:P268 "12364813q"
wdt:P279 generalized symmetric group
automorphism group
wdt:P2812 "SymmetricGroup"
wdt:P31 set
wdt:P3847 "symmetric_groups"
wdt:P4215 "symmetric group"
wdt:P4746 "133764"
wdt:P508 "53097"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "128622974"
wdt:P646 "/m/074_8"
wdt:P6564 "symmetry-group"
wdt:P6781 "Definition:Symmetric_Group"
wdt:P7554 "Symmetric_group"
wdt:P8189 "987007553676705171"
wdt:P8417 "Symmetric_group"
wdt:P8866 function composition
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