An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup

DOI10.1070/SM2013v204n02ABEH004298zbMath1285.20027arXiv1105.2471OpenAlexW1977672874MaRDI QIDQ2842989

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Publication date: 9 August 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2471

zbMATH Keywords

amalgamated free productsHanna Neumann inequalityintersections of finitely generated subgroupsreduced ranks

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (2)

On the intersection of tame subgroups in groups acting on trees ⋮ On the rank of the intersection of free subgroups in virtually free groups.

Cites Work

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• Die Untergruppen der freien Produkte von beliebigen Gruppen
• On the Kurosh rank of the intersection of subgroups in free products of groups.
• A property of groups and the Cauchy–Davenport theorem
• On the intersection of free subgroups in free products of groups
• Theory of Maps on Orientable Surfaces
• ON THE INTERSECTION OF FINITELY GENERATED SUBGROUPS IN FREE PRODUCTS OF GROUPS
• INTERSECTING FREE SUBGROUPS IN FREE PRODUCTS OF GROUPS
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• On the Intersection of Finitely Generated Free Groups

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