 |
 |
|
|
| HAL : hal-00703511, version 1 |
| Fiche détaillée |  Récupérer au format |
 |
|
|
| On supersimple groups |
|
|
| Cédric Milliet 1, 2 |
|
|
| (02/06/2012) |
|
|
|
| An infinite group with supersimple theory has a finite series of definable groups whose factors are infinite and either virtually-FC or virtually-simple modulo a finite FC-centre. A group which is type-definable 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. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Institut Camille Jordan (ICJ) |
|
|
|
CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
|
|
| 2 : | Université Galatasaray - Istanbul |
|
|
|
Galatasaray Universitesi |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Logique |
|
|
| Model theory – supersimple group – just-infinite groups – series with abelian or simple factors |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00703511, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00703511 | |
| oai:hal.archives-ouvertes.fr:hal-00703511 | |
| Contributeur : Cédric Milliet | |
| Soumis le : Samedi 2 Juin 2012, 15:09:06 | |
| Dernière modification le : Dimanche 3 Juin 2012, 18:48:54 | |
