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| HAL : hal-00250070, version 1 |
| arXiv : 0802.1394 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (11-02-2008) | v2 (29-02-2008) | v3 (27-03-2008) |
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| Groups of finite Morley rank with solvable local subgroups |
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Adrien DeloroEric Jaligot 1 |
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| (25/12/2007) |
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| We lay down the fundations of the theory of groups of finite Morley rank in which local subgroups are solvable and we proceed to the local analysis of these groups. We prove the main Uniqueness Theorem, analogous to the Bender method in finite group theory, and derive its corollaries. We also consider homogeneous cases as well as torsion. |
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| 1 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Domaine | : | Mathématiques/Théorie des groupes |
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| Cherlin-Zilber Conjecture – Morley rank – Feit-Thompson Theorem – Bender method |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00250070, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00250070 | |
| oai:hal.archives-ouvertes.fr:hal-00250070 | |
| Contributeur : Eric Jaligot | |
| Soumis le : Vendredi 8 Février 2008, 20:14:44 | |
| Dernière modification le : Lundi 11 Février 2008, 09:58:58 | |
