In this paper, we show that for any Schur ring S over a cyclic group G, if every subgroup is an S-subgroup, then S is either a wedge product of Schur rings over smaller cyclic groups, or every S-principal subset is an orbit of an element under a Ž fixed subgroup of Aut G. With an earlier result prov
K2of Cyclic Group Rings over λ-Rings
✍ Scribed by F.J.-B.J. Clauwens
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 384 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
The theory developed in previous papers of the author is used to compute the algebraic K of group rings of cyclic p-groups with coefficients in an arbitrary 2 -ring.
📜 SIMILAR VOLUMES
A module is weakly minimal if and only if every pp-definable subgroup is either finite or of finite index. We study weakly minimal modules over several classes of rings, including valuation domains, Prüfer domains and integral group rings.
We study groups of matrices SGL ⌫ޚ of augmentation one over the integral n Ž . group ring ⌫ޚ of a nilpotent group ⌫. We relate the torsion of SGL ⌫ޚ to the n Ž . torsion of ⌫. We prove that all abelian p-subgroups of SGL ⌫ޚ can be stably n Ž . diagonalized. Also, all finite subgroups of SGL