Groups with the minimum condition on insoluble subgroups

DOI10.1007/S000130050328zbMath0939.20037OpenAlexW1980339713MaRDI QIDQ1293314

Martin J. Evans, Martyn R. Dixon

Publication date: 4 July 2000

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050328

zbMATH Keywords

soluble groupsfinitely generated subgroupslocally graded groupsfinite homomorphic imagesminimal condition on subgroupssoluble Chernikov groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (11)

Groups whose proper subgroups are metahamiltonian-by-finite ⋮ Unnamed Item ⋮ Groups with some minimal conditions on non-nilpotent subgroups ⋮ ON GROUPS WITH ALL SUBGROUPS SUBNORMAL OR SOLUBLE OF BOUNDED DERIVED LENGTH ⋮ Cohopfian groups and accessible group classes ⋮ Linear groups whose proper subgroups are close to being nilpotent ⋮ A finiteness condition on subgroups of large derived length. ⋮ On groups with all proper subgroups finite-by-abelian-by-finite ⋮ Groups whose proper subgroups are linear ⋮ Groups with restricted non-permutable subgroups ⋮ A constructive approach to accessible group classes

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