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math.LO2011
On Levi subgroups and the Levi decomposition for groups definable in o-minimal structures
Annalisa Conversano, Anand Pillay
We study analogues of the notions from Lie theory of Levi subgroup and Levi decomposition, in the case of groups G definable in an o-minimal expansion of a real closed field. With…
math.LO2011
Connected components of definable groups, and o-minimality II
Annalisa Conversano, Anand Pillay
We study the connected components G^00, G^000 and their quotients for a group G definable in a saturated o-minimal expansion of a real closed field. We show that G^00/G^000 is natu…
math.LO2011★ 1 cited
Connected components of definable groups and o-minimality I
Annalisa Conversano, Anand Pillay
We give examples of groups G such that G^00 is different from G^000. We also prove that for groups G definable in an o-minimal structure, G has a "bounded orbit" iff G is definably…