Chin, Angelina Yan Mui (2022) A note on group rings with trivial units. Bulletin of The Australian Mathematical Society, 105 (2). pp. 243-247. ISSN 0004-9727, DOI https://doi.org/10.1017/S0004972721000563.
Full text not available from this repository.Abstract
Let R be a ring with identity of characteristic two and G a nontrivial torsion group. We show that if the units in the group ring RG are all trivial, then G must be cyclic of order two or three. We also consider the case where R is a commutative ring with identity of odd prime characteristic and G is a nontrivial locally finite group. We show that in this case, if the units in RG are all trivial, then G must be cyclic of order two. These results improve on a result of Herman et al. 'Trivial units for group rings with G-adapted coefficient rings', Canad. Math. Bull. 48(1) (2005), 80-89].
| Item Type: | Article |
|---|---|
| Funders: | None |
| Uncontrolled Keywords: | Group ring; Unit; Torsion group; Locally finite group |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 25 Apr 2022 06:20 |
| Last Modified: | 25 Apr 2022 06:20 |
| URI: | http://eprints.um.edu.my/id/eprint/33810 |
Actions (login required)
 |
View Item |
