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On the generators of subgroups of unit groups of group rings

✍ Scribed by Ashwani K. Bhandari


Book ID
112787272
Publisher
Springer
Year
1990
Tongue
English
Weight
231 KB
Volume
20
Category
Article
ISSN
1678-7714

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πŸ“œ SIMILAR VOLUMES


Generators of Large Subgroups of Units o
✍ A. Giambruno; S.K. Sehgal πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 207 KB

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}\