most citedCohomology of groups in o-minimal structures: acyclicity of the infinitesimal subgroup

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math.LO2007★ 3 cited

Cohomology of groups in o-minimal structures: acyclicity of the infinitesimal subgroup

Alessandro Berarducci

By recent work on some conjectures of Pillay, each definably compact group in a saturated o-minimal structure is an expansion of a compact Lie group by a torsion free normal divisi…

math.LO2006

O-minimal spectra, infinitesimal subgroups and cohomology

Alessandro Berarducci

By recent work on some conjectures of Pillay, each definably compact group in a saturated o-minimal expansion of an ordered field has a normal ``infinitesimal subgroup'' $G^{00…

math.LO2005

Zero-groups and maximal tori

Alessandro Berarducci

We give a presentation of various results on zero-groups in o-minimal structures together with some new observations. In particular we prove that if G is a definably connected defi…