Annalisa Conversano

activity

20092025

most citedGroups definable in o-minimal structures: various properties and a diagram

3 citations · 6 across the 10 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.LO2023

Definable rank, o-minimal groups, and Wiegold's problem

Annalisa Conversano

We show that an o-minimal structure M defines groups with infinite definable rank if and only if M defines some finite power of $Q / Z$ . If no interval of M is coun…

math.GR2023

Lie groups in the symmetric group: reducing Ulam's problem to the simple case

Annalisa Conversano, Nicolas Monod

Ulam asked whether all Lie groups can be represented faithfully on a countable set. We establish a reduction of Ulam's problem to the case of simple Lie groups. In particular, we s…