Grothendieck groups of integral nilpotent group rings
β Scribed by Masahiko Miyamoto
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 199 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let \(G\) be a finite nilpotent group so that all simple components \((D)_{n \times n}, n \geq 2\) of \(Q G\) satisfy the congruence subgroup theorem. Suppose that for all odd primes \(p\) dividing \(|G|\) the Hamiltonian quaternions \(H\) split over the \(p\) th cyclotomic field \(Q\left(\zeta_{p}\
We study groups of matrices SGL β«β«ήβ¬ of augmentation one over the integral n Ε½ . group ring β«β«ήβ¬ of a nilpotent group β«. We relate the torsion of SGL β«β«ήβ¬ to the n Ε½ . torsion of β«. We prove that all abelian p-subgroups of SGL β«β«ήβ¬ can be stably n Ε½ . diagonalized. Also, all finite subgroups of SGL
for spurring me to write these observations, and I thank Halvard Fausk and Gaunce Lewis for careful readings of several drafts and many helpful comments. I thank Madhav Nori and Hyman Bass for help with the ring theory examples and Peter Freyd, Michael Boardman, and Neil Strickland for facts about c