THE TOPOLOGY AND ANALYSIS OF THE HANNA NEUMANN CONJECTURE

DOI10.1142/S1793525311000611zbMath1236.20030WikidataQ123123275 ScholiaQ123123275MaRDI QIDQ3094725

Igor Mineyev

Publication date: 25 October 2011

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

zbMATH Keywords

arrangementsfinitely generated subgroupsatomic decompositionsimmersionsfree groupsHilbert modulesflowersHanna Neumann conjectureAtiyah conjecture\(L^2\)-Betti numbersergodicity for vector spacesgardensMurray-von-Neumann dimensionslide mapssquare mapssystems of complexes

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07) Free nonabelian groups (20E05)

Related Items

GROUPS, GRAPHS, AND THE HANNA NEUMANN CONJECTURE, Fixed subgroups are compressed in surface groups, Subset currents on surfaces, The group fixed by a family of endomorphisms of a surface group, A sufficient condition for the Hanna Neumann property of submonoids of a free monoid., Virtual retraction and Howson’s theorem in pro-$p$ groups, Submultiplicativity and the Hanna Neumann conjecture., Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks

Cites Work

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• On the intersection of free subgroups in free products of groups
• Intersections of finitely generated free groups
• Hereditary Group Rings
• INTERSECTING FREE SUBGROUPS IN FREE PRODUCTS OF GROUPS