Higher Class Groups of Orders and Integral Group Rings (original) (raw)

This research investigates the higher class groups associated with orders and integral group rings, extending previous understandings in the realm of number theory and representation theory. Key findings demonstrate the surjectivity of induced maps between class groups of orders under specific conditions, revealing significant implications for the algebraic structures involved. Further, it addresses the connections to Whitehead groups and torsions, providing a deeper insight into the structural attributes of these higher class groups.