On Supersimple Groups

نویسنده

  • CÉDRIC MILLIET
چکیده

An infinite group with supersimple theory has a finite series of definable groups whose factors are infinite and either virtually-FC or virtuallysimple modulo a finite FC-centre. We deduce that a group which is typedefinable in a supersimple theory has a finite series of relatively definable groups whose factors are either abelian or simple groups. In this decomposition, the non-abelian simple factors are unique up to isomorphism.

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تاریخ انتشار 2012