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Large Subgroups in the Unit Groups of Arithmetic Orders

✍ Scribed by A. Bhandari; J. Ritter


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
821 KB
Volume
178
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


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✍ 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}\

Maximum Order of Finite Abelian Subgroup
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Let F be a free group of rank n. Denote by Out F its outer automorphism n n group, that is, its automorphism group modulo its inner automorphism group. For arbitrary n, by considering group actions on finite connected graphs, we derived the maximum order of finite abelian subgroups in Out F . Moreov