INTERSECTING FREE SUBGROUPS IN FREE PRODUCTS OF GROUPS

DOI10.1142/S0218196701000267zbMath1028.20022OpenAlexW2165882661WikidataQ127677353 ScholiaQ127677353MaRDI QIDQ4786280

Sergei V. Ivanov

Publication date: 15 December 2002

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

Full work available at URL: https://doi.org/10.1142/s0218196701000267

zbMATH Keywords

free productsfree groupslinearly ordered groupsKurosh 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) Ordered groups (group-theoretic aspects) (20F60) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items

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 the intersection of tame subgroups in groups acting on trees, On joins and intersections of subgroups in 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., On the intersection of free subgroups in free products of groups with no 2-torsion., Virtual retraction and Howson’s theorem in pro-$p$ groups, THE TOPOLOGY AND ANALYSIS OF THE HANNA NEUMANN CONJECTURE, Submultiplicativity and the Hanna Neumann conjecture., 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

• Topology of finite graphs
• 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
• On the Intersection of Finitely Generated Free Groups