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p-Adic group rings with nilpotent unit groups

✍ Scribed by César Polcino Milies


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
562 KB
Volume
12
Category
Article
ISSN
0022-4049

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Finite Matrix Groups over Nilpotent Grou
✍ Zbigniew S. Marciniak; Sudarshan K. Sehgal 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 216 KB

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