On lengths of \(H\mathbb{Z}\)-localization towers

DOI10.1007/s11856-018-1697-xzbMath1498.55011arXiv1605.08198OpenAlexW2963817129MaRDI QIDQ1659541

Roman Mikhailov, Sergei O. Ivanov

Publication date: 22 August 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08198

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Cohomology of groups (20J06) Localization and completion in homotopy theory (55P60) Homological methods in group theory (20J05)

Related Items (3)

Right exact group completion as a transfinite invariant of homology equivalence ⋮ HR-length of a free group via polynomial functors ⋮ Right exact localizations of groups

Cites Work

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• On a problem of Bousfield for metabelian groups
• Lower central and dimension series of groups.
• Homology, Massey products and maps between groups
• Almost finitely presented soluble groups
• On the nilpotent multipliers of a group
• Homotopy theory and generalized dimension subgroups
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• On the homology theory of central group extensions. I: The commutator map and stem extensions
• On the homology theory of central group extensions. II: The exact sequence in the general case
• Homotopy limits, completions and localizations
• Polynomial Functors and Homotopy Theory
• Relative Schur multipliers and universal extensions of group homomorphisms
• Homological localization towers for groups and Π-modules
• Subgroups of finitely presented metabelian groups

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