On the Howson Property of HNN-Extensions with Nilpotent Base Group and Amalgamated Free Products of Nilpotent Groups

DOI10.1080/00927872.2012.748784zbMath1300.20036OpenAlexW2009315415MaRDI QIDQ5413992

Panagiotis A. Paramantzoglou

Publication date: 2 May 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.748784

zbMATH Keywords

finitely generated nilpotent groupsHNN-extensionsamalgamated free productsintersections of finitely generated subgroupsHowson propertyHowson groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

• Unnamed Item
• On the Howson property of HNN-extensions with Abelian base group and amalgamated free products of Abelian groups.
• On finitely generated subgroups of some soluble groups
• Two remarks on the group property of Howson
• Almost finitely presented soluble groups
• Subgroups of HNN groups
• Intersections of Finitely Generated Subgroups in Free Products
• Subgroups of HNN Groups and Groups with one Defining Relation
• Finitely Generated Subgroups of HNN Groups
• On the Intersection of Finitely Generated Free Groups

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