naa a22 4500 510783716 CHVBK 20180411083255.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s11856-012-0185-y doi (NATIONALLICENCE)springer-10.1007/s11856-012-0185-y On Weyl groups in minimal simple groups of finite Morley rank [Elektronische Daten] [Tuna Altinel, Jeffrey Burdges, Olivier Frécon] We prove that generous non-nilpotent Borel subgroups of connected minimal simple groups of finite Morley rank are self-normalizing. We use this to introduce a uniform approach to the analysis of connected minimal simple groups of finite Morley rank through a case division incorporating four mutually exclusive classes of groups. We use these to analyze Carter subgroups and Weyl groups in connected minimal simple groups of finite Morley rank. Finally, the self-normalization theorem is applied to give a new proof of an important step in the classification of simple groups of finite Morley rank of odd type. Hebrew University Magnes Press, 2013 Altinel Tuna Université Lyon 1, Institut Camille Jordan, 43 blvd du 11 novembre 1918, 69622, Villeurbanne cedex, France aut Burdges Jeffrey Université Lyon 1, Institut Camille Jordan, 43 blvd du 11 novembre 1918, 69622, Villeurbanne cedex, France aut Frécon Olivier Laboratoire de Mathématiques et Applications, Université de Poitiers, Téléport 2 - BP 30179, Boulevard Marie et Pierre Curie, 86962, Futuroscope Chasseneuil Cedex, France aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 377-407 0021-2172 197:1<377 2013 197 11856 https://doi.org/10.1007/s11856-012-0185-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0185-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Altinel Tuna Université Lyon 1, Institut Camille Jordan, 43 blvd du 11 novembre 1918, 69622, Villeurbanne cedex, France aut NATIONALLICENCE 700 1- Burdges Jeffrey Université Lyon 1, Institut Camille Jordan, 43 blvd du 11 novembre 1918, 69622, Villeurbanne cedex, France aut NATIONALLICENCE 700 1- Frécon Olivier Laboratoire de Mathématiques et Applications, Université de Poitiers, Téléport 2 - BP 30179, Boulevard Marie et Pierre Curie, 86962, Futuroscope Chasseneuil Cedex, France aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 377-407 0021-2172 197:1<377 2013 197 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer