Groups with isomorphic homology groups and non-cancellation in homotopy theory

DOI10.1016/0022-4049(87)90026-0zbMath0617.55003OpenAlexW1964907563MaRDI QIDQ1822087

Hilton, Peter

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90026-0

zbMATH Keywords

nilpotent groupsfinitely presented groupsgenuscancellation problem in homotopy theoryinfinite cyclic fundamental groups

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) (H)-spaces and duals (55P45) Localization and completion in homotopy theory (55P60)

Related Items (4)

Calculating the mislin genus for a certain family of nilpotent groups ⋮ Homotopy decompositions of polyhedra into products with the second factor \(S^1\) ⋮ A connected 4-dimensional polyhedron with two homotopy decompositions into prime factors ⋮ On the extended genus

Cites Work

• Unnamed Item
• On the genus of nilpotent groups and spaces
• On the genus of a nilpotent group with finite commutator subgroup.
• NON-CANCELLATION PROPERTIES FOR CERTAIN FINITELY PRESENTED GROUPS

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