ALGB Seminar: Sughanda Maheshwary, Indian Institute of Science Education and Research

06/12/2017 - 17:00

Title:  The upper central series of the unit groups of integral group rings

 

Abstract: In this talk, several aspects of the unit group of integral groups rings, related to its upper central series shall be discussed. Existing results and unsolved aspects of the problems shall be presented. This will cover description of free rank of the centre, CUT groups (groups for which the centre of the unit group coincides with the centre of the group itself), the structure of the unit groups of group rings of finite groups by means of sets of generators, and results on infinite groups.