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Integral group rings with all central units trivial.
- Source :
-
Journal of Pure & Applied Algebra . Aug2017, Vol. 221 Issue 8, p1955-1965. 11p. - Publication Year :
- 2017
-
Abstract
- The object of study in this paper is the finite groups whose integral group rings have only trivial central units. Prime-power groups and metacyclic groups with this property are characterized. Metacyclic groups are also classified according to the central height of the unit groups of their integral group rings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GROUP rings
*GROUP theory
*UNIT groups (Ring theory)
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 221
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 122414673
- Full Text :
- https://doi.org/10.1016/j.jpaa.2016.10.017