Approximation by subgroups of finite index and the Hanna Neumann conjecture

DOI10.1215/00127094-0000015XzbMath1375.20035OpenAlexW2596125217WikidataQ123301026 ScholiaQ123301026MaRDI QIDQ2403442

Andrei Jaikin-Zapirain

Publication date: 8 September 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1489629612

zbMATH Keywords

free groupspro-\(p\) groupsHanna Neumann conjectureLück's approximation

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Free nonabelian groups (20E05) Limits, profinite groups (20E18)

Related Items (11)

The Hanna Neumann conjecture for surface groups ⋮ Stallings automata for free-times-abelian groups: intersections and index ⋮ The base change in the Atiyah and the Lück approximation conjectures ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ An explicit construction of the universal division ring of fractions of \(E\langle\langle x_1,\ldots, x_d \rangle\rangle\) ⋮ A list of applications of Stallings automata ⋮ Realizable ranks of joins and intersections of subgroups in free groups ⋮ Profinite detection of 3-manifold decompositions ⋮ Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups ⋮ The strong Atiyah and Lück approximation conjectures for one-relator groups

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