On CW-complexes over groups with periodic cohomology

DOI10.1090/tran/8411zbMath1478.57018arXiv1905.12018OpenAlexW3135288205MaRDI QIDQ5009315

Johnny Nicholson

Publication date: 20 August 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12018

zbMATH Keywords

CW-complexPoincaré complexD2 problem

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Poincaré duality spaces (57P10) Wall finiteness obstruction for CW-complexes (57Q12) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (4)

Geometric realisation of relation modules over aspherical groups ⋮ An exotic presentation of \(Q_{28}\) ⋮ Connected sum decompositions of high-dimensional manifolds ⋮ Homotopy classification of 4-manifolds whose fundamental group is dihedral

Cites Work

• Periodic resolutions for finite groups
• Induced representations and projective modules
• Units in Whitehead groups of finite groups
• Projective modules over group rings and maximal orders
• On the number of generators of a module
• Complexes dominated by a 2-complex
• Stable modules and Wall's D(2)-problem
• An exotic presentation of \(Q_{28}\)
• Self-equivalences of pseudo-projective planes
• Minimal resolutions for finite groups
• Finiteness conditions for CW-complexes. I, II.
• Poincaré complexes. I
• Genera and decompositions of lattices over orders
• K-theory of finite groups and orders. Notes by E. Graham Evans
• Groups with no odd dimensional cohomology
• On torsion-free groups with infinitely many ends
• A stably free nonfree module and its relevance for homotopy classification, case \(Q_28\)
• Groups Which Act on S n Without Fixed Point
• Realizing algebraic 2-complexes by cell complexes
• Periodic Projective Resolutions
• Projective modules over binary polyhedral groups.
• Locally free modules over arithmetic orders.
• On the 2-Realizability of 2-Types
• Minimal 2-complexes and the D(2)-problem
• Two remarks on Wall's D2 problem
• Advances in Two-Dimensional Homotopy and Combinatorial Group Theory
• Introduction to Algebraic K-Theory. (AM-72)
• Groups of cohomological dimension one
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On CW-complexes over groups with periodic cohomology