English

Units and Augmentation Powers in Integral Group Rings

Rings and Algebras 2020-05-06 v2

Abstract

The augmentation powers in an integral group ring ZG\mathbb ZG induce a natural filtration of the unit group of ZG\mathbb ZG analogous to the filtration of the group GG given by its dimension series {Dn(G)}n1\{D_n(G)\}_{n\ge 1}. The purpose of the present article is to investigate this filtration, in particular, the triviality of its intersection.

Cite

@article{arxiv.2004.01436,
  title  = {Units and Augmentation Powers in Integral Group Rings},
  author = {Sugandha Maheshwary and Inder Bir S. Passi},
  journal= {arXiv preprint arXiv:2004.01436},
  year   = {2020}
}

Comments

15 Pages

R2 v1 2026-06-23T14:37:52.361Z