solvable group
group that can be constructed from abelian groups using extensions; a group whose derived series terminates in the trivial subgroup
| rdfs:label |
"solvable group"@en
|
|
skos:alt |
"вырашальная група"@be-tarask
|
| schema:description |
"group that can be constructed from abelian groups using extensions; a group whose derived series terminates in the trivial subgroup"@en
|
|
schema:date |
"2026-09-06T20:24:42+00:00"^^xsd:dateTime |
| schema:version | 2541298330 |
| wikibase:identifiers | 15 |
| wikibase:sitelinks | 22 |
| wikibase:statements | 22 |
| p:P10283 | wd:statement/Q759832-991C3658-D4EE-4827-8E6C-3E983C4BEA71 |
| p:P12385 | wd:statement/Q759832-9860387d-a97b-4a8f-a4cd-afb61d4dca96 |
| p:P1296 | wd:statement/Q759832-36680D07-10AB-4988-A4A7-83BE98404448 |
| p:P12987 | wd:statement/Q759832-75609E53-E131-4A80-ADDA-8873EF3D60A7 |
| p:P13397 | wd:statement/Q759832-1647F084-9A5C-49BB-B7E4-B905C403FF92 |
| p:P14534 | wd:statement/Q759832-BA560E18-7595-4DD0-A9C8-80272816AE08 |
| p:P2534 | wd:statement/Q759832-32ad3570-4a5e-c9cd-a3d2-7c2aadde02e5 |
| p:P2579 | wd:statement/Q759832-CE766E27-8D24-4C3D-A9A0-5E153590C668 |
| p:P279 | wd:statement/Q759832-1242b732-4b6c-fbb7-a4e5-edfe6fdeaf82 |
| wd:statement/Q759832-5ece24e3-4f38-04af-f94b-61245cdf253c | |
| wd:statement/Q759832-ed91d651-4b33-2033-3847-6fb3ed92f8a3 | |
| p:P2812 | wd:statement/Q759832-84CA6597-928C-42B2-884A-22AE607594F9 |
| p:P3847 | wd:statement/Q759832-e65bdbab-4313-7db7-cfef-3f7c93c791c9 |
| p:P4215 | wd:statement/Q759832-A1899F9E-CC34-4C59-8815-BE3F8715EF76 |
| p:P6104 | wd:statement/Q759832-3934CC53-E776-4E8D-B1AE-06503BCE9645 |
| p:P6366 | wd:statement/Q759832-128992BB-1707-455B-8939-828118CED48C |
| p:P646 | wd:statement/Q759832-596B36A5-9E62-46FF-9CC5-560986A3951E |
| p:P6781 | wd:statement/Q759832-8257ee3a-43fb-6a40-a6e8-06d19107e2a1 |
| p:P7554 | wd:statement/Q759832-a2fb8743-4f2b-166a-3e3f-20a796432a2b |
| p:P8417 | wd:statement/Q759832-19bc5cd8-4851-8415-e189-4422f8a82d6d |
| p:P910 | wd:statement/Q759832-7FEDBBDD-E071-4E15-A0ED-6724BC509180 |
| p:P9621 | wd:statement/Q759832-d2e91da6-4499-0e64-9d22-c43d528a128c |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C186746360" |
| wdt:P12385 | "grup-resoluble" |
| wdt:P1296 | "0207718" |
| wdt:P12987 | "group.solvable" |
| wdt:P13397 | "solvable+groups" |
| wdt:P14534 | "IsSolvable" |
| 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">∃</mi><mi>n</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mo stretchy="false">:</mo><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">=</mo><mn>1</mn><mspace width="2em"></mspace><mo stretchy="false">(</mo><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">=</mo><mi>G</mi><mo>,</mo><mspace width="0.278em"></mspace><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">=</mo><mo stretchy="false">[</mo><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo>,</mo><msup><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">]</mo><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2579 | group theory |
| wdt:P279 | prosolvable group |
| amenable group | |
| thin group | |
| wdt:P2812 | "SolvableGroup" |
| wdt:P3847 | "solvable_groups" |
| wdt:P4215 | "solvable group" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "186746360" |
| wdt:P646 | "/m/0q9xw" |
| wdt:P6781 | "Definition:Solvable_Group" |
| wdt:P7554 | "Solvable_group" |
| wdt:P8417 | "Solvable_group" |
| wdt:P910 | Category:Solvable groups |
| wdt:P9621 | "gruppo-risolubile" |
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