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Generalized Fitting subgroup of a group of finite Morley rank

Published online by Cambridge University Press:  12 March 2014

Ali Nesin
Ali Nesin*
Affiliation:
Department of Mathematics, University of California, Irvine, California 92717
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Abstract

We define a characteristic and definable subgroup F*(G) of any group G of finite Morley rank that behaves very much like the generalized Fitting subgroup of a finite group. We also prove that semisimple subnormal subgroups of G are all definable and that there are finitely many of them.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 56 , Issue 4 , December 1991 , pp. 1391 - 1399
Copyright
Copyright © Association for Symbolic Logic 1991

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References

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