Finite groups with given properties of critical subgroups.

DOI10.1134/S0037446614020177zbMath1307.20015MaRDI QIDQ483456

V. N. Semenchuk, V. F. Velesnitskii

Publication date: 17 December 2014

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

zbMATH Keywords

finite groupscoradicalsShmidt groupsgeneralized subnormal subgroupscritical subgroupsformations with lattice propertysaturated hereditary formations

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35)

Cites Work

• On one Shemetkov problem.
• Minimal non F-groups
• Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
• Minimal nicht überauflösbare, endliche Gruppen
• Normalteiler und maximale Untergruppen endlicher Gruppen
• Finite groups with subnormal Schmidt subgroups
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