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Integral group rings with residually nilpotent unit groups

✍ Scribed by Ian Musson; Al Weiss


Book ID
112511794
Publisher
Springer
Year
1982
Tongue
English
Weight
809 KB
Volume
38
Category
Article
ISSN
0003-889X

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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}\