Injective modules and soluble groups satisfying the minimal condition for normal subgroups

DOI10.1017/S0004972700046335zbMath0206.03101OpenAlexW2141460453WikidataQ114117735 ScholiaQ114117735MaRDI QIDQ5605925

D. McDougall, Brian Hartley

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1017/s0004972700046335

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Solvable groups, supersolvable groups (20F16) Injective modules, self-injective associative rings (16D50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Representation theory of groups (20C99)

Related Items (12)

Two-step solvable groups with weak minimal condition for normal subgroups ⋮ Some classes of groups with weak minimal condition for normal subgroups ⋮ On groups that are dominated by countably many proper subgroups ⋮ Properties of groups inherited by normal subgroups ⋮ On metanilpotent Fitting classes ⋮ On groups with countably many maximal subgroups ⋮ Group rings ⋮ ON SOME INFINITE DIMENSIONAL LINEAR GROUPS ⋮ The vanishing of certain homology and cohomology groups ⋮ Metanilpotent groups satisfying the minimal condition for normal subgroups ⋮ Groups with small deviation for non-subnormal subgroups. ⋮ On metanilpotent groups satisfying the minimal condition on normal subgroups

Cites Work

• Unnamed Item
• Irreducible groups of automorphisms of abelian groups
• Some properties of groups inherited by normal subgroups of finite index
• Über injektive Moduln
• Nilgruppen
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• Abelian groups that are direct summands of every containing abelian group

This page was built for publication: Injective modules and soluble groups satisfying the minimal condition for normal subgroups