@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:Q83478 rdfs:label "groep"@af,
        "kuo"@ak,
        "زمرة"@ar,
        "qrup"@az,
        "төркөм"@ba,
        "група"@be,
        "група"@be-tarask,
        "група"@bg,
        "গ্রুপ"@bn,
        "སྡེ་ཚན་༼རྩིས་རིག༽།"@bo,
        "grupa"@bs,
        "grup"@ca,
        "گرووپ"@ckb,
        "grupa"@cs,
        "ушкăн"@cv,
        "grŵp"@cy,
        "gruppe"@da,
        "Gruppe"@de,
        "ομάδα"@el,
        "group"@en,
        "group"@en-ca,
        "group"@en-gb,
        "grupo"@eo,
        "grupo"@es,
        "rühm"@et,
        "talde"@eu,
        "گروه"@fa,
        "ryhmä"@fi,
        "groupe"@fr,
        "skööl"@frr,
        "grúpa"@ga,
        "grupo"@gl,
        "חבורה"@he,
        "समूह"@hi,
        "grupa"@hr,
        "csoport"@hu,
        "Խումբ"@hy,
        "gruppo"@ia,
        "grup"@id,
        "Grupo (matematiko)"@io,
        "grúpa"@is,
        "gruppo"@it,
        "群"@ja,
        "ჯგუფი"@ka,
        "tagrumma"@kab,
        "топ"@kk,
        "ಗ್ರೂಪ್"@kn,
        "군"@ko,
        "grex"@la,
        "Grupp"@lb,
        "grupo"@lfn,
        "grupp"@lmo,
        "grupė"@lt,
        "grupa"@lv,
        "群"@lzh,
        "vory"@mg,
        "група"@mk,
        "ഗ്രൂപ്പ്"@ml,
        "бүлэг"@mn,
        "kumpulan"@ms,
        "grupp"@mt,
        "အုပ်စု"@my,
        "kûn"@nan,
        "gruppe"@nb,
        "पुचः"@new,
        "groep"@nl,
        "gruppe"@nn,
        "grupe"@nov,
        "grop"@oc,
        "grupa"@pl,
        "strop"@pms,
        "گروہ"@pnb,
        "grupo"@pt,
        "grupo"@pt-br,
        "grup"@ro,
        "группа"@ru,
        "gruppu"@scn,
        "grupa"@sh,
        "grupa"@sk,
        "grupa"@sl,
        "група"@sr,
        "група"@sr-ec,
        "grupp"@sv,
        "grupa"@szl,
        "குலம்"@ta,
        "гурӯҳ"@tg,
        "กรุป"@th,
        "pangkat"@tl,
        "öbek"@tr,
        "төркем"@tt,
        "төркем"@tt-cyrl,
        "wupu"@tum,
        "група"@uk,
        "گروہ"@ur,
        "guruhi"@uz,
        "nhóm"@vi,
        "groep"@vls,
        "grup"@vo,
        "群"@wuu,
        "גרופע"@yi,
        "羣"@yue,
        "群"@zh,
        "群"@zh-hans,
        "群"@zh-hant,
        "群"@zh-tw ;
    schema1:dateModified "2026-10-14T21:15:01+00:00"^^xsd:dateTime ;
    schema1:description "’n versameling met ’n binêre operasie wat sekere aksiomas, soos onder uiteengesit, bevredig"@af,
        "مجموعة جبرية مع عمليات داخلية ترابطية عكسية تقبل عنصرًا محايدًا"@ar,
        "مجموعة جبرية مع عمليات داخلية ترابطية عكسية تقبل عنصرًا محايدًا"@ary,
        "математика"@ba,
        "непустое мноства разам з вызначанаю на ім бінарнай аперацыяй, якая задавальняе пэўныя ўмовы"@be,
        "мноства"@be-tarask,
        "вид алгебрична структура, която представлява едно от най-основните понятия в математиката"@bg,
        "estructura algebraica"@ca,
        "množina s binární operací"@cs,
        "matematisk begreb"@da,
        "geordnete Menge, Struktur in der Mathematik"@de,
        "algebraic set with an invertible, associative internal operation admitting a neutral element"@en,
        "algebra strukturo, difinita kiel aro kun inversigebla duloka operacio"@eo,
        "estructura algebraica"@es,
        "ریاضی"@fa,
        "yhden joukon ja yhden laskutoimituksen muodostama algebrallinen rakenne"@fi,
        "monoïde dont tout élément non nul admet un inverse pour la loi de composition interne"@fr,
        "matematiik"@frr,
        "estrutura alxébrica que consta dun conxunto cunha operación que combina calquera par dos seus elementos para formar un terceiro elemento"@gl,
        "מושג יסודי באלגברה"@he,
        "skup s binarnom operaciјom koјi zadovoljava određene aksiome, navedene dolje"@hr,
        "semleges elemes félcsoport, amiben minden elemnek van inverze"@hu,
        "structura algebric que consiste de un insimul e un operation binari tal que le axiomas de gruppos es satisfacite"@ia,
        "himpunan aljabar dengan operasi internal asosiatif yang dapat dibalik yang mengakui elemen netral"@id,
        "struttura algebrica caratterizzata da una operazione interna, associativa e invertibile, dotata di un elemento neutro e uno inverso"@it,
        "結合法則が成り立ち単位元と逆元が存在する二項演算と集合の組"@ja,
        "математика"@kk,
        "대수학에서, 항등원과 역원을 갖고 결합 법칙을 따르는 이항 연산을 갖춘 집합"@ko,
        "structura algebraica abstracta: copia cum operatione inter bina copiae elementa invertibili et associativa"@la,
        "algebresch Struktur"@lb,
        "mengde elementer sammen med en binæroperasjon"@nb,
        "algebraïsche structuur met een bewerking"@nl,
        "ensemble in kel es un asosiativ operatione, talim ke es un identitate e omni elemente have un inverse"@nov,
        "monoïde que totei seis elements son simetrizables"@oc,
        "zbiór z odwracalnym i łącznym działaniem dwuargumentowym wewnętrznym mającym element neutralny"@pl,
        "ریاضی"@pnb,
        "conjunto com uma operação associativa, com neutro e inversível"@pt,
        "conjunto com uma operação associativa, com neutro e inversível"@pt-br,
        "set cu operație inversabilă asociativă"@ro,
        "алгебраическая структура"@ru,
        "โครงสร้างทางพีชคณิตที่มีการดำเนินการที่เปลี่ยนกลุ่มได้ มีสมาชิกเอกลักษณ์และหาอินเวอร์สได้"@th,
        "soyut cebirin en temel matematiksel yapısı"@tr,
        "алгебра"@uk,
        "ریاضی"@ur,
        "tập hợp các phần tử cùng với phép toán hai ngôi kết hợp hai phần tử bất kỳ của tập hợp thành một phần tử thứ ba thỏa mãn bốn điều kiện gọi là tiên đề nhóm"@vi,
        "’n verzoamelienge met doaby ’n bewerkinge die an ’n antal eigenschappn vuldoet"@vls,
        "代数结构"@zh-hans,
        "代數結構"@zh-hant ;
    schema1:version 2557039180 ;
    wikibase:identifiers 33 ;
    wikibase:sitelinks 92 ;
    wikibase:statements 73 ;
    skos:altLabel "زمرة رياضية"@ar,
        "زمره"@ar,
        "grup algebraic"@ca,
        "grup matemàtic"@ca,
        "ушкăн (математика)"@cv,
        "algebraic group"@en,
        "group (algebra)"@en,
        "group (math)"@en,
        "mathematical group"@en,
        "grupo matemático"@es,
        "structure de groupe"@fr,
        "חבורה חילופית"@he,
        "istilah matematika grup"@id,
        "grúpuaðgerð"@is,
        "grúpufræði"@is,
        "ぐん"@ja,
        "tagrumma (tusnakt)"@kab,
        "그룹"@ko,
        "caterva"@la,
        "gruppus"@la,
        "Grupp (Algeber)"@lb,
        "grupas aksiomas"@lv,
        "ഗ്രൂപ്"@ml,
        "ഗ്രൂപ് സിദ്ധാന്തം"@ml,
        "ഗ്രൂപ്പ് സിദ്ധാന്തം"@ml,
        "бүлэг (математик)"@mn,
        "grop"@pms,
        "група"@sh,
        "matematična grupa"@sl,
        "gruppmultiplikation"@sv,
        "гурӯҳ (риёзиёт)"@tg,
        "กรุ๊ป"@th,
        "grupo"@tl,
        "grup"@tr,
        "Group"@ur,
        "Group (mathematics"@ur ;
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        wd:Q6918890,
        wd:Q765994 ;
    wdt:P2812 "Group" ;
    wdt:P2888 <http://www.farzanegi.org/math/Group?lang=PA> ;
    wdt:P31 wd:Q24034552 ;
    wdt:P3219 "groupes-mathematiques-generalites",
        "groupes-mathematiques-vue-d-ensemble" ;
    wdt:P3365 "gruppo" ;
    wdt:P373 "Group theory" ;
    wdt:P4215 "group" ;
    wdt:P4342 "gruppe_-_matematikk" ;
    wdt:P5008 wd:Q6173448 ;
    wdt:P5019 "gruppe-mathematik" ;
    wdt:P508 "5497" ;
    wdt:P527 wd:Q164307,
        wd:Q185813,
        wd:Q36161,
        wd:Q7017933 ;
    wdt:P5555 <http://commons.wikimedia.org/wiki/Special:FilePath/Cayley%20graph%20Q8.svg> ;
    wdt:P5844 "gruppo" ;
    wdt:P6058 "divers/groupe/186120" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "93063749" ;
    wdt:P646 "/m/04xl4" ;
    wdt:P6706 "gruppo+(algebra)" ;
    wdt:P6900 "群(数学)" ;
    wdt:P691 "ph180740" ;
    wdt:P7235 "<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>G</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<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>x</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<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>y</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<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>z</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<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\"><mn>1</mn></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<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\"><mo stretchy=\"false\">&#x22C5;</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P7305 "3908259" ;
    wdt:P7554 "Group" ;
    wdt:P7666 "grupe" ;
    wdt:P7726 "Group" ;
    wdt:P8408 "Group-Mathematics" ;
    wdt:P8417 "Group" ;
    wdt:P8814 "06026202-n" ;
    wdt:P8885 "군(대수학)" ;
    wdt:P910 wd:Q13324638 .