On the normalizers of p-nilpotency-residuals of all subgroups in a finite group

DOI10.1142/S0219498815501467zbMath1325.20018OpenAlexW2062549535MaRDI QIDQ2949759

Xuan Li, Xiu Yun Guo

Publication date: 2 October 2015

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

Full work available at URL: https://doi.org/10.1142/s0219498815501467

zbMATH Keywords

finite groups\(p\)-solvable groupsintersections of normalizers\(p\)-nilpotent residuals

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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (3)

Unnamed Item ⋮ On the generalized norms of a group ⋮ On the Nσ*-norm and Dp*-norm of finite groups

Cites Work

• On the norm of the nilpotent residuals of all subgroups of a finite group.
• On the intersection of the normalizers of derived subgroups of all subgroups of a finite group.
• A note on the size of the nilpotent residual in finite groups.
• On the normalizers of \(\mathcal F\)-residuals of all subgroups of a finite group.
• \(\mathfrak F\)-critical groups, \(\mathfrak F\)-subnormal subgroups, and the generalised Wielandt property for residuals.
• On the Intersection of the Normalizers of the Nilpotent Residuals of All Subgroups of a Finite Group

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