Matches in SemOpenAlex for { <https://semopenalex.org/work/W1796712816> ?p ?o ?g. }
- W1796712816 endingPage "230" @default.
- W1796712816 startingPage "215" @default.
- W1796712816 abstract "Altinel and Cherlin proved that any perfect central extension of a simple algebraic group over an algebraically closed field which happens to be of finite Morley rank is actually a finite central extension and is itself an algebraic group. We will prove an infinite rank version of their result with an additional hypothesis, while giving an example which shows the necessity of this hypothesis. The inspiration for the work comes from differential algebra; namely, a differential algebraic version of the results here was used by the second author to answer a question of Cassidy and Singer. The work here also provides an alternate path to the same answer. An almost simple superstable group G is one in which every definable normal subgroup H has the property that RU(G)>RU(H)⋅n for any n∈N. We prove that any almost simple superstable group which is a central extension of a simple algebraic group is actually a finite central extension and is an algebraic group. We also explain the applications of this result to differential algebraic groups. Many of the central ideas of the proof of our main theorem are an adaptation of techniques developed by the second author in the setting of differential algebraic groups." @default.
- W1796712816 created "2016-06-24" @default.
- W1796712816 creator A5008145669 @default.
- W1796712816 creator A5018618330 @default.
- W1796712816 date "2016-01-01" @default.
- W1796712816 modified "2023-10-14" @default.
- W1796712816 title "Superstability and central extensions of algebraic groups" @default.
- W1796712816 cites W1499179478 @default.
- W1796712816 cites W1508449489 @default.
- W1796712816 cites W1556069388 @default.
- W1796712816 cites W1596509569 @default.
- W1796712816 cites W1994413062 @default.
- W1796712816 cites W2007078834 @default.
- W1796712816 cites W2015680299 @default.
- W1796712816 cites W2032569594 @default.
- W1796712816 cites W2032733378 @default.
- W1796712816 cites W2050988422 @default.
- W1796712816 cites W2052031861 @default.
- W1796712816 cites W2056443011 @default.
- W1796712816 cites W2059064408 @default.
- W1796712816 cites W2070703446 @default.
- W1796712816 cites W2074991701 @default.
- W1796712816 cites W2110621999 @default.
- W1796712816 cites W2535976604 @default.
- W1796712816 cites W2588176416 @default.
- W1796712816 cites W2894650977 @default.
- W1796712816 cites W2963266233 @default.
- W1796712816 cites W2964319543 @default.
- W1796712816 doi "https://doi.org/10.1016/j.aam.2015.09.002" @default.
- W1796712816 hasPublicationYear "2016" @default.
- W1796712816 type Work @default.
- W1796712816 sameAs 1796712816 @default.
- W1796712816 citedByCount "0" @default.
- W1796712816 crossrefType "journal-article" @default.
- W1796712816 hasAuthorship W1796712816A5008145669 @default.
- W1796712816 hasAuthorship W1796712816A5018618330 @default.
- W1796712816 hasBestOaLocation W17967128161 @default.
- W1796712816 hasConcept C111472728 @default.
- W1796712816 hasConcept C114614502 @default.
- W1796712816 hasConcept C127413603 @default.
- W1796712816 hasConcept C134306372 @default.
- W1796712816 hasConcept C136119220 @default.
- W1796712816 hasConcept C138885662 @default.
- W1796712816 hasConcept C146978453 @default.
- W1796712816 hasConcept C164226766 @default.
- W1796712816 hasConcept C173832452 @default.
- W1796712816 hasConcept C178790620 @default.
- W1796712816 hasConcept C185592680 @default.
- W1796712816 hasConcept C186219872 @default.
- W1796712816 hasConcept C187173678 @default.
- W1796712816 hasConcept C199360897 @default.
- W1796712816 hasConcept C199793520 @default.
- W1796712816 hasConcept C202444582 @default.
- W1796712816 hasConcept C203701370 @default.
- W1796712816 hasConcept C26959085 @default.
- W1796712816 hasConcept C2778029271 @default.
- W1796712816 hasConcept C2780586882 @default.
- W1796712816 hasConcept C2781311116 @default.
- W1796712816 hasConcept C33923547 @default.
- W1796712816 hasConcept C41008148 @default.
- W1796712816 hasConcept C51544822 @default.
- W1796712816 hasConcept C78045399 @default.
- W1796712816 hasConcept C89290136 @default.
- W1796712816 hasConcept C93226319 @default.
- W1796712816 hasConcept C9376300 @default.
- W1796712816 hasConceptScore W1796712816C111472728 @default.
- W1796712816 hasConceptScore W1796712816C114614502 @default.
- W1796712816 hasConceptScore W1796712816C127413603 @default.
- W1796712816 hasConceptScore W1796712816C134306372 @default.
- W1796712816 hasConceptScore W1796712816C136119220 @default.
- W1796712816 hasConceptScore W1796712816C138885662 @default.
- W1796712816 hasConceptScore W1796712816C146978453 @default.
- W1796712816 hasConceptScore W1796712816C164226766 @default.
- W1796712816 hasConceptScore W1796712816C173832452 @default.
- W1796712816 hasConceptScore W1796712816C178790620 @default.
- W1796712816 hasConceptScore W1796712816C185592680 @default.
- W1796712816 hasConceptScore W1796712816C186219872 @default.
- W1796712816 hasConceptScore W1796712816C187173678 @default.
- W1796712816 hasConceptScore W1796712816C199360897 @default.
- W1796712816 hasConceptScore W1796712816C199793520 @default.
- W1796712816 hasConceptScore W1796712816C202444582 @default.
- W1796712816 hasConceptScore W1796712816C203701370 @default.
- W1796712816 hasConceptScore W1796712816C26959085 @default.
- W1796712816 hasConceptScore W1796712816C2778029271 @default.
- W1796712816 hasConceptScore W1796712816C2780586882 @default.
- W1796712816 hasConceptScore W1796712816C2781311116 @default.
- W1796712816 hasConceptScore W1796712816C33923547 @default.
- W1796712816 hasConceptScore W1796712816C41008148 @default.
- W1796712816 hasConceptScore W1796712816C51544822 @default.
- W1796712816 hasConceptScore W1796712816C78045399 @default.
- W1796712816 hasConceptScore W1796712816C89290136 @default.
- W1796712816 hasConceptScore W1796712816C93226319 @default.
- W1796712816 hasConceptScore W1796712816C9376300 @default.
- W1796712816 hasFunder F4320306076 @default.
- W1796712816 hasFunder F4320320878 @default.
- W1796712816 hasFunder F4320322252 @default.
- W1796712816 hasLocation W17967128161 @default.
- W1796712816 hasOpenAccess W1796712816 @default.