有理数加性群的baumslag -孤群和子群的无扭Abelian因子群

Groups Complex. Cryptol. Pub Date : 2009-10-01 DOI:10.1515/GCC.2009.165

A. Clement

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引用次数: 0

摘要

本文的目的是证明如下定理:S/P = Λ mn≥≥π，其中S/P是baumslagg - solitar群< a, b的某个无扭转因子群;A -1 bma = bn | m≠0,n≠0,m, n∈0 >，其中m和n是相对素数，Λ mn是有理数π +的加性群的子群。

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Torsion-free Abelian Factor Groups of the Baumslag-Solitar Groups and Subgroups of the Additive Group of the Rational Numbers

The object of this paper is to give a proof of the following theorem: S/P ≅ Λ mn ⊆ ℚ+, where S/P is a certain torsion-free factor group of the Baumslag-Solitar group 〈a, b; a –1 bma = bn | m ≠ 0, n ≠ 0, m, n ∈ ℤ〉, with m and n are relatively prime, and Λ mn is a subgroup of the additive group of the rational numbers ℚ+.

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Groups Complex. Cryptol.

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