Groups with minimax factor groups

DOI10.1007/BF01065053zbMath0741.20029OpenAlexW1987852403MaRDI QIDQ1813807

V. V. Pylaev, Leonid A. Kurdachenko

Publication date: 25 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01065053

zbMATH Keywords

infinite groupsminimax groupsascending normal seriesjust-non-\(\mathfrak X\) groupsinfinite normal subgroup has finite index

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14)

Cites Work

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• Nilpotent groups with every finite homomorphic image cyclic
• Just infinite modules over locally soluble groups
• Groups whose finite quotients are supersoluble
• Soluble groups with every proper quotient polycyclic
• Infinite groups whose proper quotient groups are finite, I