Exterior Powers of Modules for Group Rings of Polycyclic Groups

DOI10.1112/S0024610797005255zbMath0911.20006OpenAlexW2063510111MaRDI QIDQ4399273

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Publication date: 4 May 1999

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

Full work available at URL: https://doi.org/10.1112/s0024610797005255

zbMATH Keywords

number fieldsprime idealsexterior powersHirsch numberDirichlet unit theoremfinitely presented Abelian-by-polycyclic groupsgroup algebras of polycyclic groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) 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) Integral representations of infinite groups (20C12)

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