On modules of finite upper rank

DOI10.1090/S0002-9947-00-02612-XzbMath0959.20004OpenAlexW1941460971MaRDI QIDQ4510039

Daniel Segal

Publication date: 19 October 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02612-x

zbMATH Keywords

finitely generated soluble groupsAbelian-by-polycyclic groupsintegral groups ringsfinitely generated minimax groupsgroups of finite upper rankmodules over minimax groupsquasi-finitely generated modules

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Residual properties and generalizations; residually finite groups (20E26)

Related Items (3)

On the group rings of Abelian minimax groups. II: The singular case. ⋮ On the group rings of Abelian minimax groups ⋮ Finitely generated groups with polynomial index growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discrete groups of slow subgroup growth
• Finitely generated groups of polynomial subgroup growth
• Integral group rings of polycyclic-by-finite groups
• On the cohomology of soluble groups of finite rank
• A bound on the number of generators of a finite group
• Group rings of polycyclic groups
• On finite soluble groups
• The finite images of finitely generated groups
• Uniform Finiteness Conditions in Residually Finite Groups
• Ideals in group rings of soluble groups of finite rank
• Residually finite groups of finite rank
• The Nullstellensatz for Certain Group Rings
• On the group rings of Abelian minimax groups

This page was built for publication: On modules of finite upper rank