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GROUPS OF MORLEY RANK 4

Published online by Cambridge University Press:  22 January 2016

JOSHUA WISCONS
JOSHUA WISCONS*
Affiliation:
DEPARTMENT OF MATHEMATICSHAMILTON COLLEGECLINTON, NY 13323, USAE-mail: [email protected]
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Abstract

We show that any simple group of Morley rank 4 must be a bad group with no proper definable subgroups of rank larger than 1. We also give an application to groups acting on sets of Morley rank 2.

Keywords

Primary 03C60Secondary 20B22finite Morley ranksimple groupgeneric transitivity
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 1 , March 2016 , pp. 65 - 79
Copyright
Copyright © The Association for Symbolic Logic 2016 

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References

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