Abstract
Ulam 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.
Details
Title
Lie groups as permutation groups: Ulam's problem in the nilpotent case
Author(s)
Monod, Nicolas
Published in
Journal Of Group Theory
Date
2022-03-23
Publisher
Berlin, WALTER DE GRUYTER GMBH
ISSN
1433-5883
1435-4446
1435-4446
Keywords
Other identifier(s)
View record in Web of Science
Laboratories
EGG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > EGG - Chair of ergodic and geometric group theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2022-04-11