Group Rings and Their Augmentation Ideals

Inder Bir S. Passi (auth.)9780387092546, 0-387-09254-4

Table of contents :
Polynomial ideals in group rings….Pages 1-12
Dimension subgroups….Pages 13-19
Group rings of nilpotent groups….Pages 20-35
Dimension subgroups over fields….Pages 36-49
Polynomial maps on groups and dimension subgroups….Pages 50-75
The residual nilpotence of the augmentation ideal….Pages 76-94
The nilpotent residue of an augmentation ideal….Pages 95-105
The associated graded ring of a group ring….Pages 106-129