Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Construction of units in integral group rings of finite nilpotent groups


Authors: Jürgen Ritter and Sudarshan K. Sehgal
Journal: Trans. Amer. Math. Soc. 324 (1991), 603-621
MSC: Primary 20C05; Secondary 16S34, 16U60
MathSciNet review: 987166
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ U$ be the group of units of the integral group ring of a finite group $ G$. We give a set of generators of a subgroup $ B$ of $ U$. This subgroup is of finite index in $ U$ if $ G$ is an odd nilpotent group. We also give an example of a $ 2$-group such that $ B$ is of infinite index in $ U$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 20C05, 16S34, 16U60

Retrieve articles in all journals with MSC: 20C05, 16S34, 16U60


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1991-0987166-9
PII: S 0002-9947(1991)0987166-9
Article copyright: © Copyright 1991 American Mathematical Society