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Preprint Number 1359

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1359. Ulla Karhumäki
A model theoretic approach to simple groups of finite Morley rank with finitary groups of automorphisms
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Submission date: 2 January 2018.

Abstract:

In (Karhumäki, manuscript 2017), the author proved the following theorem:

An infinite simple group of finite Morley rank admitting a finitary group of automorphisms is a Chevalley group over an algebraically closed field of positive characteristic.

Proof of the theorem above was achieved by group theoretic methods, with a heavy use of methods (but not the statement of the Classification of Finite Simple Groups). In this paper we give an alternative model theoretic proof. In particular, this new approach is shorter and more transparent than the original proof.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1801.00576: pdf, ps.


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