On supersimple groups

Publikationstyp: Zeitschriftenartikel
Autor/innen: Milliet, Cedric
Erscheinungsjahr: 2013
Erschienen in: Journal of Algebra ; 373 (2013). - S. 426-438. - ISSN 0021-8693
DOI (zitierfähiger Link): https://dx.doi.org/10.1016/j.jalgebra.2012.09.033
Zusammenfassung:
An infinite group having a supersimple theory has a finite series of definable subgroups whose factors are infinite and either virtually-FC or virtually-simple modulo a finite FC-centre. We deduce that a group which is type-definable in a supersimple theory has a finite series of relatively definable subgroups whose factors are either abelian or simple groups. In this decomposition, the non-abelian simple factors are unique up to isomorphism.
MSC-Klassifikation: 03C45, 03C60 (primary) 20F16, 20F24, 20F14 (secondary)
Fachgebiet (DDC): 510 Mathematik
Schlagwörter: Model theory, supersimple group, just-infinite groups, series with Abelian or simple factors
Link zur Lizenz: Deposit-Lizenz
Universitätsbibliographie: Ja

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MILLIET, Cedric, 2013. On supersimple groups. In: Journal of Algebra. 373, pp. 426-438. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2012.09.033

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