Finite groups with given non-nilpotent maximal subgroups of prime index

DOI10.1142/S0219498819500877zbMath1481.20062OpenAlexW2800869369WikidataQ129972801 ScholiaQ129972801MaRDI QIDQ5383865

Shiyang Jiang, Xiaolan Yi, Sergey Fedorovich Kamornikov

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819500877

zbMATH Keywords

residualfinite groupFrattini subgrouphypercentermaximal subgroupsupersoluble groupprime index

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25)

Cites Work

• Finite soluble groups
• Nilpotent self-normalizing subgroups of soluble groups
• Normalteiler und maximale Untergruppen endlicher Gruppen
• Nilpotent Self-Normalizing Subgroups and System Normalizers
• GRADUATED FORMATIONS OF GROUPS
• A note on finite groups with the indice of some maximal subgroups being primes

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