Model theory of finite and pseudofinite groups

Archive for Mathematical Logic 57 (1-2):159-184 (2018)
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Abstract

This is a survey, intended both for group theorists and model theorists, concerning the structure of pseudofinite groups, that is, infinite models of the first-order theory of finite groups. The focus is on concepts from stability theory and generalisations in the context of pseudofinite groups, and on the information this might provide for finite group theory.

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10.1007/s00153-017-0584-1

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References found in this work

Model theory.Wilfrid Hodges - 2008 - Stanford Encyclopedia of Philosophy.
[Introduction].Wilfrid Hodges - 1988 - Journal of Symbolic Logic 53 (1):1.
Theories without the tree property of the second kind.Artem Chernikov - 2014 - Annals of Pure and Applied Logic 165 (2):695-723.
A version of o-minimality for the p-adics.Deirdre Haskell & Dugald Macpherson - 1997 - Journal of Symbolic Logic 62 (4):1075-1092.
Pseudofinite structures and simplicity.Darío García, Dugald Macpherson & Charles Steinhorn - 2015 - Journal of Mathematical Logic 15 (1):1550002.

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