See hlutgrúpa on Wiktionary
{ "etymology_templates": [ { "args": { "1": "is", "2": "hlut", "3": "grúpa", "gloss1": "partial, sub", "gloss2": "group" }, "expansion": "hlut- (“partial, sub”) + grúpa (“group”)", "name": "prefix" } ], "etymology_text": "From hlut- (“partial, sub”) + grúpa (“group”).", "forms": [ { "form": "hlutgrúpu", "tags": [ "genitive", "singular" ] }, { "form": "hlutgrúpur", "tags": [ "nominative", "plural" ] }, { "form": "feminine", "source": "declension", "tags": [ "table-tags" ] }, { "form": "is-ndecl", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "hlutgrúpa", "source": "declension", "tags": [ "indefinite", "nominative", "singular" ] }, { "form": "hlutgrúpan", "source": "declension", "tags": [ "definite", "nominative", "singular" ] }, { "form": "hlutgrúpur", "source": "declension", "tags": [ "indefinite", "nominative", "plural" ] }, { "form": "hlutgrúpurnar", "source": "declension", "tags": [ "definite", "nominative", "plural" ] }, { "form": "hlutgrúpu", "source": "declension", "tags": [ "accusative", "indefinite", "singular" ] }, { "form": "hlutgrúpuna", "source": "declension", "tags": [ "accusative", "definite", "singular" ] }, { "form": "hlutgrúpur", "source": "declension", "tags": [ "accusative", "indefinite", "plural" ] }, { "form": "hlutgrúpurnar", "source": "declension", "tags": [ "accusative", "definite", "plural" ] }, { "form": "hlutgrúpu", "source": "declension", "tags": [ "dative", "indefinite", "singular" ] }, { "form": "hlutgrúpunni", "source": "declension", "tags": [ "dative", "definite", "singular" ] }, { "form": "hlutgrúpum", "source": "declension", "tags": [ "dative", "indefinite", "plural" ] }, { "form": "hlutgrúpunum", "source": "declension", "tags": [ "dative", "definite", "plural" ] }, { "form": "hlutgrúpu", "source": "declension", "tags": [ "genitive", "indefinite", "singular" ] }, { "form": "hlutgrúpunnar", "source": "declension", "tags": [ "definite", "genitive", "singular" ] }, { "form": "hlutgrúpna", "source": "declension", "tags": [ "genitive", "indefinite", "plural" ] }, { "form": "hlutgrúpnanna", "source": "declension", "tags": [ "definite", "genitive", "plural" ] } ], "head_templates": [ { "args": { "1": "@@" }, "expansion": "hlutgrúpa f (genitive singular hlutgrúpu, nominative plural hlutgrúpur)", "name": "is-noun" } ], "inflection_templates": [ { "args": { "1": "@g" }, "name": "is-ndecl" } ], "lang": "Icelandic", "lang_code": "is", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "Icelandic entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Icelandic nouns declined using scraped base declensions", "parents": [], "source": "w" }, { "kind": "other", "name": "Icelandic terms prefixed with hlut-", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "is", "name": "Algebra", "orig": "is:Algebra", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "is", "name": "Group theory", "orig": "is:Group theory", "parents": [ "Algebra", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "derived": [ { "english": "proper subgroup", "word": "eiginleg hlutgrúpa" }, { "english": "characteristic subgroup", "word": "kennileg hlutgrúpa" }, { "english": "distinguished subgroup, invariant subgroup, normal subgroup", "word": "normleg hlutgrúpa" }, { "english": "distinguished subgroup, invariant subgroup, normal subgroup", "word": "óbreytt hlutgrúpa" }, { "english": "conjugate subgroup", "word": "samoka hlutgrúpa" }, { "english": "Sylow subgroup", "word": "Sylow-hlutgrúpa" } ], "examples": [ { "ref": "2003, Rögnvaldur G. Möller, “Umraðanagrúpur, granngrúpur og net”, in Tímarit um raunvísindi og stærðfræði, volume 1, number 2, page 7:", "text": "Það er alþekkt staðreynd um granngrúpur að opin hlutgrúpa er líka lokuð.", "type": "quote" }, { "ref": "2006, Guðmundur Einarsson, Algebra I - 11. kafli, page 1:", "text": "Sérhverja endanlega víxlna grúpu G má skrifa sem [innra] beint margfeldi G = U₁ × … × Uᵣ af rásuðum hlutgrúpum U₁,….Uᵣ.", "type": "quote" }, { "ref": "2008, Johann Guðmundsson, “Spor, nykrar og kyrrapunktar”, in Tímarit um raunvísindi og stærðfræði, volume 5, number 1, page 75:", "text": "Losaraleg samlíking er að bera hjátrefjanir A ⊂ X saman við normlegar hlutgrúpur N ◁ G.", "type": "quote" } ], "glosses": [ "a subgroup" ], "id": "en-hlutgrúpa-is-noun-MYd0LPo6", "links": [ [ "group theory", "group theory" ], [ "subgroup", "subgroup" ] ], "raw_glosses": [ "(group theory) a subgroup" ], "tags": [ "feminine" ], "topics": [ "group-theory", "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/ˈl̥ʏːtˌkruːpa/" } ], "word": "hlutgrúpa" }
{ "derived": [ { "english": "proper subgroup", "word": "eiginleg hlutgrúpa" }, { "english": "characteristic subgroup", "word": "kennileg hlutgrúpa" }, { "english": "distinguished subgroup, invariant subgroup, normal subgroup", "word": "normleg hlutgrúpa" }, { "english": "distinguished subgroup, invariant subgroup, normal subgroup", "word": "óbreytt hlutgrúpa" }, { "english": "conjugate subgroup", "word": "samoka hlutgrúpa" }, { "english": "Sylow subgroup", "word": "Sylow-hlutgrúpa" } ], "etymology_templates": [ { "args": { "1": "is", "2": "hlut", "3": "grúpa", "gloss1": "partial, sub", "gloss2": "group" }, "expansion": "hlut- (“partial, sub”) + grúpa (“group”)", "name": "prefix" } ], "etymology_text": "From hlut- (“partial, sub”) + grúpa (“group”).", "forms": [ { "form": "hlutgrúpu", "tags": [ "genitive", "singular" ] }, { "form": "hlutgrúpur", "tags": [ "nominative", "plural" ] }, { "form": "feminine", "source": "declension", "tags": [ "table-tags" ] }, { "form": "is-ndecl", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "hlutgrúpa", "source": "declension", "tags": [ "indefinite", "nominative", "singular" ] }, { "form": "hlutgrúpan", "source": "declension", "tags": [ "definite", "nominative", "singular" ] }, { "form": "hlutgrúpur", "source": "declension", "tags": [ "indefinite", "nominative", "plural" ] }, { "form": "hlutgrúpurnar", "source": "declension", "tags": [ "definite", "nominative", "plural" ] }, { "form": "hlutgrúpu", "source": "declension", "tags": [ "accusative", "indefinite", "singular" ] }, { "form": "hlutgrúpuna", "source": "declension", "tags": [ "accusative", "definite", "singular" ] }, { "form": "hlutgrúpur", "source": "declension", "tags": [ "accusative", "indefinite", "plural" ] }, { "form": "hlutgrúpurnar", "source": "declension", "tags": [ "accusative", "definite", "plural" ] }, { "form": "hlutgrúpu", "source": "declension", "tags": [ "dative", "indefinite", "singular" ] }, { "form": "hlutgrúpunni", "source": "declension", "tags": [ "dative", "definite", "singular" ] }, { "form": "hlutgrúpum", "source": "declension", "tags": [ "dative", "indefinite", "plural" ] }, { "form": "hlutgrúpunum", "source": "declension", "tags": [ "dative", "definite", "plural" ] }, { "form": "hlutgrúpu", "source": "declension", "tags": [ "genitive", "indefinite", "singular" ] }, { "form": "hlutgrúpunnar", "source": "declension", "tags": [ "definite", "genitive", "singular" ] }, { "form": "hlutgrúpna", "source": "declension", "tags": [ "genitive", "indefinite", "plural" ] }, { "form": "hlutgrúpnanna", "source": "declension", "tags": [ "definite", "genitive", "plural" ] } ], "head_templates": [ { "args": { "1": "@@" }, "expansion": "hlutgrúpa f (genitive singular hlutgrúpu, nominative plural hlutgrúpur)", "name": "is-noun" } ], "inflection_templates": [ { "args": { "1": "@g" }, "name": "is-ndecl" } ], "lang": "Icelandic", "lang_code": "is", "pos": "noun", "senses": [ { "categories": [ "Icelandic entries with incorrect language header", "Icelandic feminine nouns", "Icelandic lemmas", "Icelandic nouns", "Icelandic nouns declined using scraped base declensions", "Icelandic terms prefixed with hlut-", "Icelandic terms with quotations", "Icelandic terms with redundant head parameter", "Pages with 1 entry", "Pages with entries", "Requests for translations of Icelandic quotations", "is:Algebra", "is:Group theory" ], "examples": [ { "ref": "2003, Rögnvaldur G. Möller, “Umraðanagrúpur, granngrúpur og net”, in Tímarit um raunvísindi og stærðfræði, volume 1, number 2, page 7:", "text": "Það er alþekkt staðreynd um granngrúpur að opin hlutgrúpa er líka lokuð.", "type": "quote" }, { "ref": "2006, Guðmundur Einarsson, Algebra I - 11. kafli, page 1:", "text": "Sérhverja endanlega víxlna grúpu G má skrifa sem [innra] beint margfeldi G = U₁ × … × Uᵣ af rásuðum hlutgrúpum U₁,….Uᵣ.", "type": "quote" }, { "ref": "2008, Johann Guðmundsson, “Spor, nykrar og kyrrapunktar”, in Tímarit um raunvísindi og stærðfræði, volume 5, number 1, page 75:", "text": "Losaraleg samlíking er að bera hjátrefjanir A ⊂ X saman við normlegar hlutgrúpur N ◁ G.", "type": "quote" } ], "glosses": [ "a subgroup" ], "links": [ [ "group theory", "group theory" ], [ "subgroup", "subgroup" ] ], "raw_glosses": [ "(group theory) a subgroup" ], "tags": [ "feminine" ], "topics": [ "group-theory", "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/ˈl̥ʏːtˌkruːpa/" } ], "word": "hlutgrúpa" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-06 from the enwiktionary dump dated 2025-01-01 using wiktextract (f889f65 and 8fbd9e8). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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