Provides conditions for residual nilpotence in amalgams of nilpotent groups and a characterization for KMS groups via Cartan matrix, yielding a normal form for minimal Kac-Moody groups over Q.
Ustimenko, New examples of graphs without small cycles and of large size, vol
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Amalgams of rational unipotent groups and residual nilpotence
Provides conditions for residual nilpotence in amalgams of nilpotent groups and a characterization for KMS groups via Cartan matrix, yielding a normal form for minimal Kac-Moody groups over Q.