@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@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:Q7249944 rdfs:label "pronormal subgroup"@en,
        "pranormala subgrupo"@eo,
        "תת-חבורה פרו-נורמלית"@he,
        "射正規部分群"@ja,
        "podgrupa pronormalna"@pl,
        "subgrupo pronormal"@pt,
        "subgrupo pronormal"@pt-br,
        "pronormalna podgrupa"@sl ;
    schema1:dateModified "2025-12-28T21:41:49+00:00"^^xsd:dateTime ;
    schema1:description "a subgroup each of whose conjugates is conjugate to it already in the subgroup generated by it and its conjugate"@en ;
    schema1:version 2448350207 ;
    wikibase:identifiers 3 ;
    wikibase:sitelinks 2 ;
    wikibase:statements 7 ;
    p:P2534 wds:Q7249944-0aca23d6-4897-324b-e33e-e94b89804562 ;
    p:P279 wds:Q7249944-6711436c-4e89-65b3-8806-6044f8b0aaca,
        wds:Q7249944-f2cfd179-4947-4c06-0e95-ec6b954f2881 ;
    p:P6104 wds:Q7249944-0BD04AFC-4ED2-46DC-9E13-7C70C2EF4133 ;
    p:P6366 wds:Q7249944-29795847-F692-4A7F-9167-7D62E5E4AC4F ;
    p:P646 wds:Q7249944-9B463D62-2854-43F8-86DA-30ACB371D11B ;
    p:P8417 wds:Q7249944-582c63ee-4ac1-cde1-e29c-9be88f182f96 ;
    wdtn:P6366 <https://makg.org/entity/2776477274> ;
    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\"><mi mathvariant=\"normal\">&#x2200;</mi><mi>g</mi><mo stretchy=\"false\">&#x2208;</mo><mi>G</mi><mi mathvariant=\"normal\">&#x2203;</mi><mi>k</mi><mo stretchy=\"false\">&#x2208;</mo><mo stretchy=\"false\">&#x27E8;</mo><mi>H</mi><mo>,</mo><mi>g</mi><mi>H</mi><msup><mi>g</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mo stretchy=\"false\">&#x27E9;</mo><mo stretchy=\"false\">&#x003A;</mo><mi>k</mi><mi>H</mi><msup><mi>k</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mo stretchy=\"false\">=</mo><mi>g</mi><mi>H</mi><msup><mi>g</mi><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></msup></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P279 wd:Q7135558,
        wd:Q7977983 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2776477274" ;
    wdt:P646 "/m/09nmvk" ;
    wdt:P8417 "Pronormal_subgroup" .