Submultiplicativity and the Hanna Neumann conjecture.
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Publication:764063
DOI10.4007/annals.2012.175.1.11zbMath1280.20029OpenAlexW2169722656WikidataQ123224896 ScholiaQ123224896MaRDI QIDQ764063
Publication date: 13 March 2012
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4007/annals.2012.175.1.11
finitely generated subgroupsfree groupsordered groupsMurray-von Neumann dimension\(\ell^2\)-Betti numbersHanna Neumann conjecturesubmultiplicativitydeep-fall propertyleafageorder-essential cells
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Related Items (29)
Intersecting free subgroups in free products of left ordered groups ⋮ On a conjecture of Imrich and Müller ⋮ \(\ell^2\)-homology of the free group ⋮ GROUPS, GRAPHS, AND THE HANNA NEUMANN CONJECTURE ⋮ The Hanna Neumann conjecture for surface groups ⋮ Mineyev-Dicks proof of the HN-conjecture and the Euler-Poincaré characteristic ⋮ Stallings automata for free-times-abelian groups: intersections and index ⋮ On the intersection of tame subgroups in groups acting on trees ⋮ Subset currents on free groups. ⋮ Fixed subgroups are compressed in surface groups ⋮ On pairs of finitely generated subgroups in free groups ⋮ On joins and intersections of subgroups in free groups ⋮ Subset currents on surfaces ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ The group fixed by a family of endomorphisms of a surface group ⋮ The intersection of subgroups in free groups and linear programming ⋮ A sufficient condition for the Hanna Neumann property of submonoids of a free monoid. ⋮ Degrees of compression and inertia for free-abelian times free groups ⋮ The dynamics and geometry of free group endomorphisms ⋮ An intersection functional on the space of subset currents on a free group ⋮ Statistical properties of subgroups of free groups ⋮ A list of applications of Stallings automata ⋮ The Dicks-Ivanov problem and the Hamidoune problem. ⋮ Hyperbolic immersions of free groups ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups ⋮ Howson's Property for Semidirect Products of Semilattices by Groups ⋮ INTERSECTIONS OF SUBGROUPS IN VIRTUALLY FREE GROUPS AND VIRTUALLY FREE PRODUCTS ⋮ The Herzog–Schönheim conjecture for finitely generated groups ⋮ Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks
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- The rank three case of the Hanna Neumann Conjecture
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- Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks
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