Distinguishing arithmetic for certain stably isomorphic modules

DOI10.1016/0022-4049(79)90034-3zbMath0415.20003OpenAlexW1989122108MaRDI QIDQ599905

Michael N. Dyer, Allan J. Sieradski

Publication date: 1979

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(79)90034-3

zbMATH Keywords

Euler characteristicG,d-moduleG,d-resolutionminimal relation moduleminimality hypothesis in dimension

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Resolutions; derived functors (category-theoretic aspects) (18G10)

Related Items

A Topological Interpretation for the Bias Invariant ⋮ Fiber squares and complexes ⋮ On the homology of the higher relation modules ⋮ Relation modules of polycyclic-by-finite groups ⋮ Minimal number of generators for (G,d)-modules ⋮ The minimal relation modules of a finite Abelian group ⋮ Examples of exotic free 2-complexes and stably free nonfree modules for quaternion groups ⋮ Trace ideals of relation modules of finite groups ⋮ Invariants for distinguishing between stably isomorphic modules

Cites Work

• Unnamed Item
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• Free presentations and relation modules of finite groups
• Periodic resolutions for finite groups
• Genus and cancellation for groups with finite commutator subgroups
• Nontrivial lower bounds for class groups of integral group rings
• Nilpotent groups
• A semigroup of simple homotopy types
• Minimal resolutions for finite groups
• Genera and decompositions of lattices over orders
• The Schur Multiplicator of Metacyclic Groups
• Homology of Spaces with Operators. II
• On the 3-Type of a Complex
• Homotopy classification of \((\pi,m)\)-complexes