@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:Q1783179 rdfs:label "زمرة متعامدة"@ar,
        "Артаганальная група"@be,
        "grup ortogonal"@ca,
        "ortogonální grupa"@cs,
        "orthogonale Gruppe"@de,
        "orthogonal group"@en,
        "orta grupo"@eo,
        "grupo ortogonal"@es,
        "groupe orthogonal"@fr,
        "Possan cair-uillinagh"@gv,
        "חבורה אורתוגונלית"@he,
        "gruppo ortogonale"@it,
        "SO群"@ja,
        "직교군"@ko,
        "grupus orthogonalis"@la,
        "ортогонална група"@mk,
        "ထောင့်မှန်ကျ အုပ်စု"@my,
        "orthogonale groep"@nl,
        "grupo ortogonal"@pt,
        "grupo ortogonal"@pt-br,
        "grup ortogonal"@ro,
        "ортогональная группа"@ru,
        "ortogonalna grupa"@sl,
        "Ortogonalgrupp"@sv,
        "செங்குத்துக் குலம்"@ta,
        "กรุปเชิงตั้งฉาก"@th,
        "ортогональна група"@uk,
        "Nhóm trực giao"@vi,
        "正交群"@zh,
        "正交群"@zh-hans,
        "正交群"@zh-hant,
        "正交群"@zh-hk ;
    schema1:dateModified "2026-09-06T20:24:44+00:00"^^xsd:dateTime ;
    schema1:description "mathematische Gruppe bestehend aus Transformationen eines euklidischen Raumes, die Distanz und einen festen Punkt bewahren"@de,
        "mathematical group consisting of transformations of a Euclidean space which preserve distance and a fixed point"@en,
        "grupo matemático formado por las transformaciones de un espacio euclidiano que conservan la distancia y un punto fijo"@es,
        "groupe des automorphismes laissant invariant un produit scalaire et sa norme associée"@fr,
        "Тип группы математики"@ru ;
    schema1:version 2541298337 ;
    wikibase:identifiers 9 ;
    wikibase:sitelinks 22 ;
    wikibase:statements 18 ;
    skos:altLabel "O(n)"@de,
        "O(n)"@en,
        "general orthogonal group"@en,
        "O(n)"@eo,
        "O(n)"@es,
        "grupo ortogonal general"@es,
        "החבורה האורתוגונלית"@he,
        "gruppi ortogonali"@it,
        "スピノルノルム"@ja,
        "ディクソン不変量"@ja,
        "安定ホモトピー群"@ja,
        "特殊直交群"@ja,
        "特殊直交群<!-- リダイレクト先の「[[回転群]]」は、[[d:Q3117934]]でen版とリンク無し -->"@ja,
        "直交群"@ja,
        "O(n)"@ru,
        "Speciella ortogonalgruppen"@sv ;
    p:P10283 wds:Q1783179-B7392EE3-7EE7-4958-982C-1A0052508CBC ;
    p:P2534 wds:Q1783179-585c7123-4c52-d8d6-49bd-7722d9286742 ;
    p:P2579 wds:Q1783179-755dd99a-4974-58ff-5ee9-9da2fe16e20c,
        wds:Q1783179-C3D1C6AC-3273-4FB4-BE52-8EFF780724BD ;
    p:P279 wds:Q1783179-018dfac6-4392-0bc7-cdf2-bebf2f66e83e,
        wds:Q1783179-3ec6d47c-486b-ff61-3b6a-7a089a26126b,
        wds:Q1783179-a2da6116-4a20-8e79-8e26-51e87a766e83,
        wds:Q1783179-b6688a68-4516-bec5-a0d9-56c28a279c94 ;
    p:P2812 wds:Q1783179-dc5049b4-4cb6-5255-2931-8463efba0bcd ;
    p:P4215 wds:Q1783179-2d8ef217-409e-0682-798f-082420ff1730 ;
    p:P6104 wds:Q1783179-1D5C6B1D-2615-4255-9664-67AFC7D5480A ;
    p:P6366 wds:Q1783179-927120E2-3E93-4347-A6B5-0A9FD1DF598D ;
    p:P646 wds:Q1783179-F2BAACA1-D5DA-4F62-A1D8-19310CB38819 ;
    p:P6781 wds:Q1783179-ad5a40e4-4d37-e6ae-5e9c-688441517ab0 ;
    p:P7235 wds:Q1783179-423b90f3-46a6-2d2a-b3d7-af37aa7043a6 ;
    p:P7554 wds:Q1783179-19ab5b38-425c-19ac-9232-50caecc5f147 ;
    p:P8417 wds:Q1783179-7602f6e2-44b2-36b0-c170-7c34672d2cf3,
        wds:Q1783179-9fdd3a2d-413e-bc48-2513-4debba7939e3 ;
    wdtn:P6366 <https://makg.org/entity/146561895> ;
    wdt:P10283 "C146561895" ;
    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 data-mjx-texclass=\"OP\" mathvariant=\"normal\">O</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo stretchy=\"false\">(</mo><mrow data-mjx-texclass=\"ORD\"><mi>𝕂</mi></mrow><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mo fence=\"false\" stretchy=\"false\">{</mo><mi>A</mi><mo stretchy=\"false\">&#x2208;</mo><msup><mrow data-mjx-texclass=\"ORD\"><mi>𝕂</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">&#x00D7;</mo><mi>n</mi></mrow></mrow></msup><mo stretchy=\"false\">|</mo><msup><mi>A</mi><mrow data-mjx-texclass=\"ORD\"><mi>T</mi></mrow></msup><mi>A</mi><mo stretchy=\"false\">=</mo><mi>A</mi><msup><mi>A</mi><mrow data-mjx-texclass=\"ORD\"><mi>T</mi></mrow></msup><mo stretchy=\"false\">=</mo><msub><mi>I</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo fence=\"false\" stretchy=\"false\">}</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2579 wd:Q357300,
        wd:Q874429 ;
    wdt:P279 wd:Q1003162,
        wd:Q1695400,
        wd:Q3117689,
        wd:Q381892 ;
    wdt:P2812 "OrthogonalGroup" ;
    wdt:P4215 "orthogonal group" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "146561895" ;
    wdt:P646 "/m/017gp1" ;
    wdt:P6781 "Definition:Orthogonal_Group" ;
    wdt:P7235 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"mwe-math-element mwe-math-element-inline\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>O</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P7554 "Orthogonal_group" ;
    wdt:P8417 "Orthogonal_group",
        "Orthogonal_group_for_a_symmetric_bilinear_form" .