UNIVERSAL COVERS OF COMMUTATIVE FINITE MORLEY RANK GROUPS

UNIVERSAL COVERS OF COMMUTATIVE FINITE MORLEY RANK GROUPS

We give an algebraic description of the structure of the analytic universal cover of a complex abelian variety which suffices to determine the structure up to isomorphism. More generally, we classify the models of theories of ‘universal covers’ of rigid divisible commutative finite Morley rank group...

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Veröffentlicht in:Journal of the Institute of Mathematics of Jussieu 2020-05, Vol.19 (3), p.767-799
Hauptverfasser: Bays, Martin, Hart, Bradd, Pillay, Anand
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Sprache:eng
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Group theory
Isomorphism
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container_title Journal of the Institute of Mathematics of Jussieu
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creator Bays, Martin
Hart, Bradd
Pillay, Anand
description We give an algebraic description of the structure of the analytic universal cover of a complex abelian variety which suffices to determine the structure up to isomorphism. More generally, we classify the models of theories of ‘universal covers’ of rigid divisible commutative finite Morley rank groups.
doi_str_mv 10.1017/S1474748018000191
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source Cambridge University Press Journals Complete
subjects Group theory
Isomorphism
title UNIVERSAL COVERS OF COMMUTATIVE FINITE MORLEY RANK GROUPS
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