Nikolaus Conference 2019

Speaker: Wei-Liang Sun (Taipei)

Title: The Multiplicative Jordan Decomposition in Integral Group Rings

Abstract:

In this talk, I will present the development of the multiplicative Jordan decomposition problem in integral group rings. This problem was proposed by Alfred W. Hales and Inder Bir S. Passi in 1991. The purpose is to classify finite groups such that every unit in their integral group ring can be decomposed into a product of a semisimple unit and a unipotent unit. This classification has not been completed. I will also present our result for the direct product of the quaternion group of order 8 and the cyclic group of a prime order with a certain condition. This is a joint work with Wentang Kuo (University of Waterloo, Canada).

Back to program