Finite presentation of fibre products of metabelian groups

DOI10.1016/S0022-4049(02)00307-9zbMath1024.20028MaRDI QIDQ1874525

Charles F. III Miller, Martin R. Bridson, Gilbert Baumslag, Derek F. Holt

Publication date: 25 May 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

short exact sequencesfinitely presented groupspolycyclic groupsmetabelian groupsfibre products

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items

On weak commutativity in groups, Finitely presented wreath products and double coset decompositions., Subdirect products of finitely presented metabelian groups., Generators and relations for subsemigroups via boundaries in Cayley graphs., Finite presentability of normal fibre products.

Cites Work

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• The subgroups of direct products of surface groups.
• Fibre products, non-positive curvature, and decision problems
• Valuations and Finitely Presented Metabelian Groups
• On Some Groups which cannot be Finitely Presented
• Subgroups of Direct Products of Free Groups