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Gauss Units in Integral Group Rings

✍ Scribed by Olaf Neisse; Sudarshan K. Sehgal

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 147 KB
Volume: 204
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7379

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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}\