braid group

mathematical concept in knot theory
rdfs:label
"braid group"@en
skos:altLabel
"Artin braid group"@en
schema:description
"mathematical concept in knot theory"@en
schema:dateModified "2026-09-06T20:25:17+00:00"^^xsd:dateTime
schema:version 2541298582
wikibase:identifiers 13
wikibase:sitelinks 14
wikibase:statements 19
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p:P373 wd:statement/Q220409-18268CFB-434B-4A65-A7BC-818B381EACEA
p:P4215 wd:statement/Q220409-2D60902C-4D5F-46AC-BFC8-1CD7613D14F9
p:P6104 wd:statement/Q220409-55F66123-EFE8-45BE-907F-948AF9ABA969
p:P6366 wd:statement/Q220409-DB943755-FD01-4DEB-B957-5FA3D8277587
wd:statement/Q220409-DB977F6F-19D0-40A8-A01B-89451BC88D77
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p:P910 wd:statement/Q220409-D19EA5FA-FA24-4900-83A5-1DC2AEF22BCF
p:direct-normalized/P227 <https://d-nb.info/gnd/4225944-7>
p:direct-normalized/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 Artin group
wdt:P2812 "BraidGroup"
wdt:P361 knot theory
wdt:P373 "Braid theory"
wdt:P4215 "braid group"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "147441545"
"33840335"
wdt:P646 "/m/02p1ng"
wdt:P6781 "Definition:Braid_Group"
wdt:P8313 "fletningsgruppen"
wdt:P8417 "Braid_group"
wdt:P910 Category:Braid groups
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