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Full Frobenius Groups of Finite Morley Rank and the Feit-Thompson Theorem

Published online by Cambridge University Press:  15 January 2014

Eric Jaligot
Eric Jaligot*
Affiliation:
Université Claude Bernard Lyon-1, Institut Girard Desargues, 43 Blvd Du 11 Novembre 1918, 69622 Villeurbanne Cedex, France. E-mail: [email protected] URL: http://www.desargues.univ-lyon1.fr/home/jaligot/jaligotF.html
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Abstract

We show how the notion of full Frobenius group of finite Morley rank generalizes that of bad group, and how it seems to be more appropriate when we consider the possible existence (still unknown) of nonalgebraic simple groups of finite Morley rank of a certain type, notably with no involution. We also show how these groups appear as a major obstacle in the analysis of FT-groups, if one tries to extend the Feit-Thompson theorem to groups of finite Morley rank.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 7 , Issue 3 , September 2001 , pp. 315 - 328
Copyright
Copyright © Association for Symbolic Logic 2001

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