Annalisa Conversano

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In this sequel to [3] we try to give a comprehensive account of the " connected components " G 00 and G 000 as well as the various quotients G/G 00 , G/G 000 , G 00 /G 000 , for G a group definable in a (saturated) o-minimal expansion of a real closed field. Key themes are the structure of G 00 /G 000 and the problem of " exactness " of the G → G 00(More)
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 suitable definitions, we prove that G has a unique maximal ind-definable semisimple subgroup S, up to conjugacy, and that G = R · S where R is the solvable radical of G. We also(More)
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