Idempotents in group rings

The von Neumann finiteness problem for k[G] is still open. Kaplansky proved it in characteristic zero. He used the nonvanishing of the trace: tr(e) = 0 implies e = 0 for any idempotent e ∊ k[G]. Assume now that char k = p > 0. Now tr can vanish on nonzero idempotents. Instead, we study the lifted...

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Bibliographic Details
Main Author: Marciniak, Zbigniew
Other Authors: Mathematics
Format: Others
Language:en_US
Published: Virginia Polytechnic Institute and State University 2017
Subjects:
Online Access:http://hdl.handle.net/10919/80271