On the Howson property of HNN-extensions with Abelian base group and amalgamated free products of Abelian groups.

DOI10.1007/s00013-011-0344-0zbMath1263.20026OpenAlexW2059910651MaRDI QIDQ766087

Panagiotis A. Paramantzoglou

Publication date: 23 March 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0344-0

zbMATH Keywords

HNN-extensionsamalgamated free productsintersections of finitely generated subgroupsHowson propertyHowson groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (2)

On the Howson Property of HNN-Extensions with Nilpotent Base Group and Amalgamated Free Products of Nilpotent Groups ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups

Cites Work

• Two remarks on the group property of Howson
• Intersections of finitely generated subgroups in metabelian groups
• On the failure of the Howson property for a group with a single defining relation
• Amalgamated Products and the Howson Property
• Subgroups of HNN groups
• Intersections of Finitely Generated Subgroups in Free Products
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• Subgroups of HNN Groups and Groups with one Defining Relation
• On the Finitely Generated Subgroups of an Amalgamated Product of Two Groups
• On the Intersection of Finitely Generated Free Groups
• Unnamed Item

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