A model theoretic approach to simple groups of finite Morley rank with finitary groups of automorphisms

Karhumäki, Ulla (2017) A model theoretic approach to simple groups of finite Morley rank with finitary groups of automorphisms. [MIMS Preprint]

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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.

Item Type:	MIMS Preprint
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User:	Miss Ulla Karhumäki
Date Deposited:	31 Dec 2017 14:34
Last Modified:	31 Dec 2017 14:34
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/2607

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