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Small profinite structures

Author(s): Ludomir Newelski
Journal: Trans. Amer. Math. Soc. 354 (2002), 925-943.
MSC (2000): Primary 03C45, 03C99; Secondary 51D20
Posted: October 24, 2001
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Abstract: We propose a model-theoretic framework for investigating profinite structures. We prove that in many cases small profinite structures interpret infinite groups. This corresponds to results of Hrushovski and Peterzil on interpreting groups in locally modular stable and o-minimal structures.

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E.Hrushovski, Locally modular regular types, in: Classification Theory, Proceedings, Chicago 1985, ed. J.T.Baldwin, Springer 1987, 132-164. MR 90m:03064

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Additional Information:

Ludomir Newelski
Affiliation: Mathematical Institute, University of Wroclaw, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland - Mathematical Institute of the Polish Academy of Sciences, Kopernika 18, 51-617 Wroclaw, Poland
Email: newelski@math.uni.wroc.pl

DOI: 10.1090/S0002-9947-01-02854-9
PII: S 0002-9947(01)02854-9
Keywords: Profinite structure, m-independence, local modularity, combinatorial geometry
Received by editor(s): August 30, 1999
Posted: October 24, 2001
Additional Notes: Research supported by KBN grant 2 P03A 002 16
Copyright of article: Copyright 2001, American Mathematical Society

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