A NOTE ON SOLUBLE GROUPS WITH THE MINIMAL CONDITION ON NORMAL SUBGROUPS

DOI10.1142/S021949881350134XzbMath1300.20042OpenAlexW2062629285MaRDI QIDQ5414223

Carmela Musella, Francesco de Giovanni, Maria De Falco

Publication date: 2 May 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949881350134x

zbMATH Keywords

soluble groupsgroups of infinite rankminimal condition on normal subgroups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (2)

Large soluble groups and the control of embedding properties. ⋮ Groups of infinite rank with finite conjugacy classes of subnormal subgroups.

Cites Work

• Groups with all subgroups permutable or of finite rank.
• Irreducible groups of automorphisms of abelian groups
• Some properties of groups inherited by normal subgroups of finite index
• Soluble groups with the minimum condition for normal subgroups
• On Groups in Which Every Subgroup of Infinite Rank Is Subnormal of Bounded Defect
• Locally soluble groups with min-n.
• Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank

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