Subnormality and residuals for saturated formations: a generalization of Schenkman's theorem
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Publication:2037530
DOI10.1515/JGTH-2020-0149zbMath1482.20012OpenAlexW3120681939MaRDI QIDQ2037530
Stefanos Aivazidis, Alexander N. Skiba, Inna N. Safonova
Publication date: 8 July 2021
Published in: Journal of Group Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jgth-2020-0149
Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subnormal subgroups of abstract finite groups (20D35)
Related Items (4)
A generalization of subnormality ⋮ A note on a paper of Aivazidis, Safonova and Skiba ⋮ On σ-inductive lattices of n-multiply σ-local formations of finite groups ⋮ On the \(\sigma \)-nilpotent hypercenter of finite groups
Cites Work
- On the tower theorem for finite groups
- Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
- Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
- On \(\sigma\)-subnormality criteria in finite \(\sigma\)-soluble groups
- On \(\sigma \)-subnormal subgroups of factorised finite groups
- On \(\sigma \)-subnormal subgroups of finite groups
- On sublattices of the subgroup lattice defined by formation Fitting sets
- Finite groups whose \(n\)-maximal subgroups are \({\sigma}\)-subnormal
- On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
- On \(\tau_\sigma\)-quasinormal subgroups of finite groups
- Gaschütz functors on finite soluble groups
- Classes of Finite Groups
- Finite groups with \(\sigma\)-subnormal Schmidt subgroups
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