Groups satisfying weak minimum and maximum conditions for normal subgroups

DOI10.1007/BF00971839zbMath0443.20026OpenAlexW3023912619MaRDI QIDQ1144134

Leonid A. Kurdachenko

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00971839

zbMATH Keywords

Chernikov groupsperiodic locally nilpotent groupsminimum and maximum conditions for normal subgroups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items

THE MAXIMAL AND MINIMAL CONDITIONS FOR NORMAL SUBGROUPS OF INFINITE ORDER OR INDEX, The Maier-Schmid problem for infinite groups.

Cites Work

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• On the Finiteness of Certain Soluble Groups
• On the construction of soluble groups satisfying the minimal condition for normal subgroups
• On the construction of particular solutions of linear inhomogeneous differential equations in a neighborhood of an irregular singular point
• Finiteness Conditions for Soluble Groups