Monod, Nicolas2022-04-112022-04-112022-04-112022-03-2310.1515/jgth-2021-0168https://infoscience.epfl.ch/handle/20.500.14299/186950WOS:000771745700001Ulam asked whether every connected Lie group can be represented on a countable structure. This is known in the linear case. We establish it for the first family of non-linear groups, namely in the nilpotent case. Further context is discussed to illustrate the relevance of nilpotent groups for Ulam's problem.Mathematicsautomatic-continuityLie groups as permutation groups: Ulam's problem in the nilpotent casetext::journal::journal article::research article