Permutability of subgroups and \(\mathfrak F\)-subnormality

DOI10.1007/BF02110725zbMath0884.20012OpenAlexW2082309583MaRDI QIDQ1357996

Sergey Fedorovich Kamornikov

Publication date: 8 February 1998

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

Full work available at URL: https://doi.org/10.1007/bf02110725

zbMATH Keywords

finite groupsformationscomposition factorschains of subgroupspermutable groupsformation functionscomposition subgroupsWielandt-Kegel operator

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) Products of subgroups of abstract finite groups (20D40)

Related Items (11)

Unnamed Item ⋮ Hereditary hyperradical formations ⋮ On \(\sigma \)-subnormality of Sylow subgroups in a finite group ⋮ On formations of finite groups with the generalized Wielandt property for residuals II ⋮ On formations of finite groups with the generalised Wielandt property for residuals. ⋮ A criterion for the \(\sigma \)-subnormality of a subgroup in a finite \(3'\)-group ⋮ Towards Shemetkov's theorem about the complementability of the residual ⋮ Unnamed Item ⋮ Finite groups with \(\sigma\)-subnormal Schmidt subgroups ⋮ Criterion of subnormality in a finite group: reduction to elementary binary partitions ⋮ On one problem in formation theory.

Cites Work

• Vertauschbare nachinvariante Untergruppen
• Über den Normalisator der subnormalen Untergruppen
• A criterion for the permutability of subnormal subgroups
• Über das Erzeugnis paarweise kosubnormaler Untergruppen
• A problem of Kegel
• Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
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