@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q220409 rdfs:label "Grup de trenes"@ca,
        "Zopfgruppe"@de,
        "braid group"@en,
        "plektogrupo"@eo,
        "grupo de trenzas"@es,
        "گروه بافته"@fa,
        "חבורת הצמות"@he,
        "fonatcsoport"@hu,
        "ブレイド群"@ja,
        "꼬임군"@ko,
        "плетна група"@mk,
        "ကျစ်ဆံမြီး အုပ်စု"@my,
        "braidgruppe"@nb,
        "Vlechtgroep"@nl,
        "grupo de tranças"@pt,
        "Группа кос"@ru,
        "Група плетеница"@sr,
        "Örgü grubu"@tr,
        "группа кіс"@uk,
        "辫群"@zh,
        "辮群"@zh-hant ;
    schema1:dateModified "2026-09-06T20:25:17+00:00"^^xsd:dateTime ;
    schema1:description "spezielle geometrische Gruppe"@de,
        "mathematical concept in knot theory"@en,
        "fonatelméleti alapfogalom"@hu,
        "위상수학"@ko,
        "conceito matemático da teoria dos nós"@pt,
        "група, що абстрактно описує плетіння кіс"@uk,
        "数学概念"@zh ;
    schema1:version 2541298582 ;
    wikibase:identifiers 13 ;
    wikibase:sitelinks 14 ;
    wikibase:statements 19 ;
    skos:altLabel "Artin braid group"@en,
        "grupo de plektoj"@eo,
        "plekta grupo"@eo,
        "Braid-gruppe"@nb ;
    p:P10283 wds:Q220409-BD077227-0A9E-43A8-8000-6DB8164B230A,
        wds:Q220409-F73F8550-7302-4DD6-AB72-1BEAB583FFF7 ;
    p:P10376 wds:Q220409-1C9AA622-A020-459C-9672-08178F2B177E ;
    p:P13397 wds:Q220409-784F545C-30B0-4546-A345-443C55639C71 ;
    p:P227 wds:Q220409-C77FAFFD-2179-4EA8-BB12-AB9129250373 ;
    p:P2534 wds:Q220409-BD298C97-0A85-4DAE-B154-95132D94BC60 ;
    p:P279 wds:Q220409-3c921280-4bd5-3d4a-6dcb-add136a7eb96 ;
    p:P2812 wds:Q220409-1FD856A7-2F56-48C7-91DF-A950300E2B41 ;
    p:P361 wds:Q220409-7480de08-4533-70cd-b66f-2db905ad5b1c ;
    p:P373 wds:Q220409-18268CFB-434B-4A65-A7BC-818B381EACEA ;
    p:P4215 wds:Q220409-2D60902C-4D5F-46AC-BFC8-1CD7613D14F9 ;
    p:P6104 wds:Q220409-55F66123-EFE8-45BE-907F-948AF9ABA969 ;
    p:P6366 wds:Q220409-DB943755-FD01-4DEB-B957-5FA3D8277587,
        wds:Q220409-DB977F6F-19D0-40A8-A01B-89451BC88D77 ;
    p:P646 wds:Q220409-63DD8DAB-8A91-4C8B-B9CD-9AB84A3C0DA0 ;
    p:P6781 wds:Q220409-d28aead0-4ebc-000d-f020-6e431428afd6 ;
    p:P8313 wds:Q220409-BAFB3EB7-A0EC-464C-A605-FF1A46D0C064 ;
    p:P8417 wds:Q220409-6da4123e-482b-1a8f-04f3-e25de124789b ;
    p:P910 wds:Q220409-D19EA5FA-FA24-4900-83A5-1DC2AEF22BCF ;
    wdtn:P227 <https://d-nb.info/gnd/4225944-7> ;
    wdtn:P6366 <https://makg.org/entity/147441545>,
        <https://makg.org/entity/33840335> ;
    wdt:P10283 "C147441545",
        "C33840335" ;
    wdt:P10376 "mathematics/braid-group" ;
    wdt:P13397 "braid+group" ;
    wdt:P227 "4225944-7" ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><msub><mi>B</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo stretchy=\"false\">=</mo><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">&#x27E8;</mo><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msub><mo stretchy=\"false\">|</mo><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>i</mi><mo stretchy=\"false\">+</mo><mn>1</mn></mrow></mrow></msub><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub><mo stretchy=\"false\">=</mo><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>i</mi><mo stretchy=\"false\">+</mo><mn>1</mn></mrow></mrow></msub><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>i</mi><mo stretchy=\"false\">+</mo><mn>1</mn></mrow></mrow></msub><mo>,</mo><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mi>j</mi></mrow></msub><mo stretchy=\"false\">=</mo><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mi>j</mi></mrow></msub><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub><mo data-mjx-texclass=\"CLOSE\">&#x27E9;</mo></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P279 wd:Q3956993 ;
    wdt:P2812 "BraidGroup" ;
    wdt:P361 wd:Q849798 ;
    wdt:P373 "Braid theory" ;
    wdt:P4215 "braid group" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "147441545",
        "33840335" ;
    wdt:P646 "/m/02p1ng" ;
    wdt:P6781 "Definition:Braid_Group" ;
    wdt:P8313 "fletningsgruppen" ;
    wdt:P8417 "Braid_group" ;
    wdt:P910 wd:Q8309400 .