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Partial Skew Group Rings Over Polycyclic by Finite Groups

✍ Scribed by Paula A. A. B. Carvalho; Wagner Cortes; Miguel Ferrero

Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
394 KB
Volume
14
Category
Article
ISSN
1386-923X

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📜 SIMILAR VOLUMES

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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

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✍ P. Wauters 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 90 KB

Let G be a polycyclic-by-finite group such that ⌬ G is torsion-free abelian and K a field. Denote by S a multiplicatively closed set of non-zero central elements of w x K G ; if K is an absolute field assume that S contains an element not in K. Our w x main result is when the localization K G is a p