Some remarks concerning the rank of mapping tori and ascending HNN-extensions of Abelian groups.

DOI10.4171/RLM/624zbMath1286.20032MaRDI QIDQ429555

Umberto Zannier, Francesco Amoroso

Publication date: 20 June 2012

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Diophantine approximationnumbers of generatorscompanion matricesascending HNN-extensionsmapping tori groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over global fields and their integers (20G30) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Linear Diophantine equations (11D04) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

Mixed commutator lengths, wreath products and general ranks

Cites Work

• Unnamed Item
• Rank of mapping tori and companion matrices
• Torsion points on curves and common divisors of a^k-1 and b^k-1
• On the discriminant of the power of an algebraic number

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