Relation modules of polycyclic-by-finite groups

DOI10.1016/0022-4049(81)90061-XzbMath0468.20010OpenAlexW2040788209MaRDI QIDQ1156231

Kenneth A. Brown

Publication date: 1981

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(81)90061-x

zbMATH Keywords

minimal number of generatorsHirsch numberpresentation rankmaximal projective direct summandminimal relation module of a polycyclic-by-finite group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Other classes of modules and ideals in associative algebras (16D80) Noetherian rings and modules (associative rings and algebras) (16P40) Integral representations of infinite groups (20C12)

Related Items (1)

Two remarks on Wall's D2 problem

Cites Work

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• Distinguishing arithmetic for certain stably isomorphic modules
• The derived subgroup of a free metabelian group
• Free presentations and relation modules of finite groups
• The presentation rank of a direct product of finite groups
• On the number of generators of a module
• Cohomological topics in group theory.
• K -Theory and Stable Structure of Some Noetherian Group Rings
• Noetherian Rings of Finite Global Dimension
• Observations on group rings
• Relation Modules

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