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

Torsion-free Abelian Factor Groups of the Baumslag-Solitar Groups and Subgroups of the Additive... The object of this paper is to give a proof of the following theorem: S / P ≅ ण mn ⊆ ℚ + , where S / P is a certain torsion-free factor group of the Baumslag-Solitar group ⟨ a, b ; a –1 b m a = b n | m ≠ 0, n ≠ 0, m, n ∈ ℤ⟩, with m and n are relatively prime, and ण mn is a subgroup of the additive group of the rational numbers ℚ + . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups - Complexity - Cryptology de Gruyter

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

Groups - Complexity - Cryptology , Volume 1 (2) – Oct 1, 2009

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Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1867-1144
eISSN
1869-6104
DOI
10.1515/GCC.2009.165
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Groups - Complexity - Cryptologyde Gruyter

Published: Oct 1, 2009

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