𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Units of Group Rings of Solvable and Frobenius Groups over Large Rings of Cyclotomic Integers

✍ Scribed by J. Ritter; S.K. Sehgal

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
411 KB
Volume
158
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Generators of Large Subgroups of Units o
Generators of Large Subgroups of Units of Integral Group Rings of Nilpotent Groups
✍ 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}\

On the Picard Group of the Integer Group
On the Picard Group of the Integer Group Ring of the Cyclic p-Group and Certain Galois Groups
✍ Alexander Stolin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 324 KB

In the present paper we deal with the canonical projection Pic Z Here p is any odd prime number, `pk k =1 and C n is the cyclic group of order p n . I proved in (Stolin, 1997), that the canonical projection Pic Z[`n] Γ„ Cl Z[`n] can be split. If p is a properly irregular, not regular prime number, t

Weakly minimal modules over integral gro
Weakly minimal modules over integral group rings and over related classes of rings
✍ Stefano Leonesi; Sonia L'Innocente; Carlo Toffalori πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 204 KB

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, PrΓΌfer domains and integral group rings.

The Group Ring of SL2(pf) over p-adic In
The Group Ring of SL2(pf) over p-adic Integers for p Odd
✍ Gabriele Nebe πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 234 KB

Let p ) 2 be a prime, R s β€«ήšβ€¬ , K s ‫ޑ‬ , and G s SL p . The p p y1 p p y1 2 group ring RG is calculated nearly up to Morita equivalence: The projections of RG into the simple components of KG are given explicitly and the endomorphism rings and homomorphism bimodules between the projective indecompo