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On torsion-free groups in o-minimal structures

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Publication:819239
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zbMath1085.03027MaRDI QIDQ819239

Sergei Starchenko, Yaa'cov Peterzil

Publication date: 28 March 2006

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

definable grouptorsion-free groupChevalley theoremo-minimal expansions


Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Semialgebraic sets and related spaces (14P10) Model theory of ordered structures; o-minimality (03C64) Algebraic groups (14L99)


Related Items

Classifying torsion free groups in o-minimal expansions of real closed fields ⋮ Locally definable subgroups of semialgebraic groups ⋮ SOLVABLE LIE GROUPS DEFINABLE IN O-MINIMAL THEORIES ⋮ Connected components of definable groups and o-minimality. I ⋮ The derived subgroup of linear and simply-connected o-minimal groups ⋮ Nilpotent groups, o-minimal Euler characteristic, and linear algebraic groups ⋮ Definable topological dynamics and real Lie groups ⋮ Real Lie groups and o-minimality ⋮ Connected components of definable groups, and o-minimality. II.



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