Ideals in group rings of soluble groups of finite rank

DOI10.1017/S0305004100062551zbMath0532.16007MaRDI QIDQ3314007

C. J. B. Brookes

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

orbital elementssoluble groups of finite rankprimitive group ringsminimal primesplinthsannihilator-free prime idealsfaithful almost standardised primesgamma-ideals of group algebrasmaximum condition on idealsstandardisers of idealsvaluation sphere

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25)

Related Items

Some Remarks on Tensor, Symmetric and Exterior Powers of Modules over an Abelian Group ⋮ On the group rings of Abelian minimax groups. II: The singular case. ⋮ Soluble products of minimax groups, and nearly surjective derivations ⋮ On the primitive representations of finitely generated metabelian groups of finite rank over a field of non-zero characteristic ⋮ On rings of quotients of group algebras of soluble groups of finite rank ⋮ Spectra of conjugated ideals in group algebras of abelian groups of finite rank and control theorems ⋮ On certain methods of studying ideals in group rings of abelian groups of finite rank ⋮ Induced modules over group algebras of metabelian groups of finite rank ⋮ On Groups Saturated with Abelian Subgroups ⋮ On the primitive irreducible representations of finitely generated linear groups of finite rank ⋮ On modules of finite upper rank

Cites Work

• Almost finitely presented soluble groups
• Valuations and Finitely Presented Metabelian Groups
• Prime Ideals in Group Rings of Polycyclic Groups
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