On \(\sigma\)-subnormality criteria in finite \(\sigma\)-soluble groups

DOI10.1007/S13398-020-00824-4zbMath1437.20011OpenAlexW3009111364MaRDI QIDQ2174308

Adolfo Ballester-Bolinches, Vicent Pérez-Calabuig, Mari Carmen Pedraza-Aguilera, Sergey Fedorovich Kamornikov

Publication date: 21 April 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00824-4

zbMATH Keywords

finite group\(\sigma\)-subnormal subgroup\(\sigma\)-nilpotencyfactorised group\(\sigma\)-solubility

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subnormal subgroups of abstract finite groups (20D35)

Related Items (14)

Characterizations of \(\sigma \)-solvable finite groups ⋮ A generalization of \(\sigma\)-permutability ⋮ Unnamed Item ⋮ On finite Sylow tower and σ-tower groups ⋮ On σ-inductive lattices of n-multiply σ-local formations of finite groups ⋮ New characterizations of \(\sigma\)-nilpotent finite groups ⋮ On σ-subnormal closure ⋮ Finite groups with weakly subnormal and partially subnormal subgroups ⋮ On \(\sigma\)-subnormality criteria in finite groups ⋮ Subnormality and residuals for saturated formations: a generalization of Schenkman's theorem ⋮ Finite groups with \(\sigma\)-subnormal Schmidt subgroups ⋮ On generalised subnormal subgroups of finite groups ⋮ On the \(\sigma \)-nilpotent hypercenter of finite groups ⋮ On finite \(\sigma \)-tower groups

Cites Work

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• Finite soluble groups
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• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• A generalization of a Hall theorem
• Um problema da teoria dos subgrupos subnormais
• On some arithmetic properties of nite groups
• On subnormality criteria for subgroups in finite groups
• Classes of Finite Groups

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