ON THE INTERSECTION OF FINITELY GENERATED SUBGROUPS IN FREE PRODUCTS OF GROUPS

DOI10.1142/S021819679900031XzbMath1028.20021OpenAlexW2016662589MaRDI QIDQ4513313

Sergei V. Ivanov

Publication date: 7 November 2000

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819679900031x

zbMATH Keywords

free productsfree groupsHanna Neumann conjectureKurosh subgroup theoremfactor free subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) 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 (13)

Intersecting free subgroups in free products of left ordered groups ⋮ On a conjecture of Imrich and Müller ⋮ Intersection problem for Droms RAAGs ⋮ Stallings automata for free-times-abelian groups: intersections and index ⋮ On joins and intersections of subgroups in free groups ⋮ On the rank of the intersection of free subgroups in virtually free groups. ⋮ On the intersection of free subgroups in free products of groups ⋮ On the Kurosh rank of the intersection of subgroups in free products of groups. ⋮ A list of applications of Stallings automata ⋮ On the intersection of free subgroups in free products of groups with no 2-torsion. ⋮ A property of groups and the Cauchy–Davenport theorem ⋮ An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup ⋮ Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks

Cites Work

• Intersections of finitely generated subgroups of free groups and resolutions of graphs
• A short proof of a theorem of Burns.
• On the intersection of subgroups of a free group
• Equivalence of the strengthened Hanna Neumann conjecture and the amalgamated graph conjecture
• Towards the Hanna Neumann conjecture using Dicks' method
• Remarks on the Intersection of Finitely Generated Subgroups of a Free Group
• Intersections of finitely generated free groups
• Intersections of Finitely Generated Subgroups in Free Products
• On the Intersection of Finitely Generated Free Groups

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