Finite groups with \(\sigma\)-subnormal Schmidt subgroups

DOI10.1016/J.JALGEBRA.2020.05.021zbMath1485.20051OpenAlexW3032506017MaRDI QIDQ5918900

Xiaolan Yi, Sergey Fedorovich Kamornikov

Publication date: 25 August 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2020.05.021

zbMATH Keywords

finite group\(\sigma\)-subnormal subgroupSchmidt subgroup

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)

Related Items (13)

Characterizations of \(\sigma \)-solvable finite groups ⋮ Finite groups with generalized subnormal Schmidt subgroups ⋮ A generalization of \(\sigma\)-permutability ⋮ On finite Sylow tower and σ-tower groups ⋮ On σ-inductive lattices of n-multiply σ-local formations of finite groups ⋮ Finite groups with \(\sigma \)-abnormal Schmidt subgroups ⋮ Finite groups with a system of generalized subnormal Schmidt subgroups ⋮ FINITE GROUPS WITH ABNORMAL MINIMAL NONNILPOTENT SUBGROUPS ⋮ Unnamed Item ⋮ Finite groups with weakly subnormal and partially subnormal subgroups ⋮ Subnormality and residuals for saturated formations: a generalization of Schenkman's theorem ⋮ Finite groups with \(\sigma\)-subnormal Schmidt subgroups ⋮ On finite \(\sigma \)-tower groups

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