A note on the size of the nilpotent residual in finite groups.

DOI10.1007/S00013-012-0452-5zbMath1272.20017OpenAlexW2082324148MaRDI QIDQ1925810

Lü Gong, Xiu Yun Guo

Publication date: 19 December 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0452-5

zbMATH Keywords

finite groupsinner automorphismsFrattini subgroupcommutator subgroupnilpotent 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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (6)

On normalizers of the nilpotent residuals of subgroups of a finite group ⋮ On the normalizers of p-nilpotency-residuals of all subgroups in a finite group ⋮ BOUNDING THE ORDER OF THE NILPOTENT RESIDUAL OF A FINITE GROUP ⋮ On Generalized Norms of Finite Groups ⋮ Unnamed Item ⋮ On residuals of finite groups

Cites Work

• The size of the commutator subgroup of finite groups.
• Finite groups with trivial Frattini subgroup.
• On the commutator and the center of finite groups.
• Bounds in groups with trivial Frattini subgroup.
• On groups satisfying \(|G'|>[G:Z(G)^{1/2}\).]
• Endlichkeitskriterien für Kommutatorgruppen
• On the size of the nilpotent residual in finite groups

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