#### Filter Results:

- Full text PDF available (6)

#### Publication Year

1983

2015

- This year (0)
- Last 5 years (4)
- Last 10 years (8)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

We give examples of definable groups G (in a saturated model, sometimes o-minimal) such that G00 6= G000, yielding also new examples of “non G-compact” theories. We also prove that for G definable in a (saturated) o-minimal structure, G has a “bounded orbit” (i.e. there is a type of G whose stabilizer has bounded index) if and only if G is definably… (More)

There are strong analogies between groups definable in o-minimal structures and real Lie groups. Nevertheless, unlike the real case, not every definable group has maximal definably compact subgroups. We study definable groups G which are not definably compact showing that they have a unique maximal normal definable torsion-free subgroup N ; the quotient G/N… (More)

We prove the definability, and actually the finiteness of the commutator width, of many commutator subgroups in groups definable in ominimal structures. It applies in particular to derived series and to lower central series of solvable groups. Along the way, we prove some generalities on groups with the descending chain condition on definable subgroups… (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 ominimal 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)

- Annalisa Conversano
- J. Symb. Log.
- 2014

In [KKMZ02] the authors gave a valuation theoretic characterization for a real closed field to be κ-saturated, for a cardinal κ ≥ א0. In this paper, we generalize the result, giving necessary and sufficient conditions for certain o-minimal expansion of a real closed field to be κ-saturated.

- Annalisa Conversano, Anand Pillay
- Ann. Pure Appl. Logic
- 2015

In this sequel to [3] we try to give a comprehensive account of the “connected components” G00 and G000 as well as the various quotients G/G00, G/G000, G00/G000, for G a group definable in a (saturated) ominimal expansion of a real closed field. Key themes are the structure of G00/G000 and the problem of “exactness” of the G 7→ G00 functor. We prove that… (More)

- Annalisa Conversano, Anand Pillay
- Electronic Notes in Discrete Mathematics
- 2013

- Anita Saponari, Giuseppe Pastore, +5 authors Cara Grasso
- Minerva anestesiologica
- 1983

- ‹
- 1
- ›