Realizable ranks of joins and intersections of subgroups in free groups

DOI10.1142/S0218196720500149zbMath1452.20019arXiv1901.04463OpenAlexW3099511351WikidataQ114614796 ScholiaQ114614796MaRDI QIDQ4960465

Ignat Soroko

Publication date: 16 April 2020

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

Full work available at URL: https://arxiv.org/abs/1901.04463

zbMATH Keywords

Hanna Neumann conjecturerank of the jointopological pushout

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Topological methods in group theory (57M07) Free nonabelian groups (20E05)

Uses Software

• GAP
• TikZ
• FGA
• genyoungtabtikz
• pgf

Cites Work

• Intersections and joins of free groups.
• Graphs of subgroups of free groups.
• Topology of finite graphs
• On Howson's theorem
• Equivalence of the strengthened Hanna Neumann conjecture and the amalgamated graph conjecture
• Stallings foldings and subgroups of free groups
• Hyperbolic 3-manifolds with \(k\)-free fundamental group
• On a conjecture of Imrich and Müller
• Approximation by subgroups of finite index and the Hanna Neumann conjecture
• On joins and intersections of subgroups in free groups
• Introduction to group theory. Translated from the Russian. With a new chapter.
• Graph Theory
• GROUPS, GRAPHS, AND THE HANNA NEUMANN CONJECTURE
• 4-free groups and hyperbolic geometry
• RANDOM GENERATION OF FINITELY GENERATED SUBGROUPS OF A FREE GROUP
• Singular surfaces, mod 2 homology, and hyperbolic volume, I
• The geometry of k-free hyperbolic 3-manifolds
• ACHIEVABLE RANKS OF INTERSECTIONS OF FINITELY GENERATED FREE GROUPS
• Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks
• Unnamed Item