A criterion for the \(\sigma \)-subnormality of a subgroup in a finite \(3'\)-group

DOI10.3103/S1066369X20080046zbMath1454.20039OpenAlexW3081709116MaRDI QIDQ2225884

Sergey Fedorovich Kamornikov, Valentin Nikolaevich Tyutyanov

Publication date: 11 February 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x20080046

zbMATH Keywords

finite groupSuzuki groupsubnormal subgroup\( \sigma \)-subnormal subgroup

Mathematics Subject Classification ID

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

Related Items (3)

On \(\sigma \)-subnormality of Sylow subgroups in a finite group ⋮ On \(\sigma\)-subnormality criteria in finite groups ⋮ On some aspects of the Kegel-Wielandt \(\sigma \)-conjecture

Cites Work

• Unnamed Item
• Permutability of subgroups and \(\mathfrak F\)-subnormality
• Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
• Criteria for subnormality in finite groups.
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• A solvable version of the Baer–Suzuki theorem
• The local structure of finite groups of characteristic 2 type
• Classes of Finite Groups
• On a class of doubly transitive groups

This page was built for publication: A criterion for the \(\sigma \)-subnormality of a subgroup in a finite \(3'\)-group