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Bad groups of finite Morley rank

Published online by Cambridge University Press:  12 March 2014

Luis Jaime Corredor
Luis Jaime Corredor*
Affiliation:
Mathematisches Institut, Beringstrasse 4, D-5300 Bonn, West Germany
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Abstract

We prove the following theorem. Let G be a connected simple bad group (i.e. of finite Morley rank, nonsolvable and with all the Borel subgroups nilpotent) of minimal Morley rank. Then the Borel subgroups of G are conjugate to each other, and if B is a Borel subgroup of G, then , NG(B) = B, and G has no involutions.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 54 , Issue 3 , September 1989 , pp. 768 - 773
Copyright
Copyright © Association for Symbolic Logic 1989

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References

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