On central extensions and definably compact groups in o-minimal structures

DOI10.1016/j.jalgebra.2010.11.001zbMath1220.03033arXiv0811.0089OpenAlexW2963559413MaRDI QIDQ536010

Anand Pillay, Ehud Hrushovski, Yaa'cov Peterzil

Publication date: 16 May 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0089

zbMATH Keywords

central extensionso-minimalityuniversal coversdefinably compact groupscompact dominationo-minimal expansions of real closed fieldsreal Lie groupssemialgebraic groups

Mathematics Subject Classification ID

Compact groups (22C05) General properties and structure of real Lie groups (22E15) Model theory of ordered structures; o-minimality (03C64)

Related Items (20)

One Lie group to define them all ⋮ Cartan subgroups of groups definable in o-minimal structures ⋮ Definable groups as homomorphic images of semi-linear and field-definable groups ⋮ Groups definable in two orthogonal sorts ⋮ Invariance results for definable extensions of groups ⋮ 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 ⋮ Pillay's conjecture for groups definable in weakly o‐minimal non‐valuational structures ⋮ Definable topological dynamics and real Lie groups ⋮ A REDUCTION TO THE COMPACT CASE FOR GROUPS DEFINABLE IN O-MINIMAL STRUCTURES ⋮ A REDUCTION TO THE COMPACT CASE FOR GROUPS DEFINABLE IN O-MINIMAL STRUCTURES ⋮ VARIATIONS SUR UN THÈME DE ALDAMA ET SHELAH ⋮ Real Lie groups and o-minimality ⋮ Definability in the group of infinitesimals of a compact Lie group ⋮ Non-standard lattices and o-minimal groups ⋮ Commutators in groups definable in o-minimal structures ⋮ MAXIMAL COMPACT SUBGROUPS IN THE O-MINIMAL SETTING ⋮ Connected components of definable groups, and o-minimality. II. ⋮ Interpretable groups are definable

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