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Generators of large subgroups of the unit group of integral group rings

โœ Scribed by Eric Jespers; Guilherme Leal

Book ID
110577562
Publisher
Springer
Year
1993
Tongue
English
Weight
585 KB
Volume
78
Category
Article
ISSN
0025-2611

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๐Ÿ“œ SIMILAR VOLUMES

Generators of Large Subgroups of Units o
Generators of Large Subgroups of Units of Integral Group Rings of Nilpotent Groups
โœ A. Giambruno; S.K. Sehgal ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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}\

Products of Free Groups in the Unit Grou
Products of Free Groups in the Unit Group of Integral Group Rings
โœ Eric Jespers; Guilherme Leal; Angel del Rฤฑ́o ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

We classify the nilpotent finite groups G which are such that the unit group ลฝ . U U ZG of the integral group ring ZG has a subgroup of finite index which is the direct product of noncyclic free groups. It is also shown that nilpotent finite groups having this property can be characterised by means