Amalgams of rational unipotent groups and residual nilpotence
Abstract
We provide sufficient conditions for a free amalgamated product of torsionfree nilpotent groups to be residually nilpotent. We also characterise the residual nilpotence of certain higher-dimensional amalgams of unipotent groups over the rationals (known as KMS groups) in terms of their defining Cartan matrix. As an application, we give a normal form for the elements of a minimal Kac–Moody group over the rationals.
Fields of Study & Subjects
Finite Group Theory Research
Mathematics and Applications
graph theory and CDMA systems
Publication details
- Journal / source
- Journal of Combinatorial Algebra
- Publication date
- 20 March 2026
- Language
- EN