Amalgams of rational unipotent groups and residual nilpotence
(2025) Journal of Combinatorial Algebra — (2025)
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- 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.
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Citations
Caprace, P.-E., & Marquis, T. (2025). Amalgams of rational unipotent groups and residual nilpotence. Journal of Combinatorial Algebra. Accepted/in-press. https://hdl.handle.net/2078.5/270938 (Original work published 2025)