Nilpotent-like fitting formations of finite soluble groups

DOI10.1017/S0004972700018943zbMath0980.20009MaRDI QIDQ4761493

Adolfo Ballester-Bolinches, Ana Martínez-Pastor, María Dolores Pérez-Ramos

Publication date: 12 June 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hall subgroupsmaximal subgroupsnilpotent groupssubnormal subgroupsFitting classessaturated formationsFitting formationsinjectorslocal formation functionssoluble \(\pi\)-groups

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) Formations of groups, Fitting classes (20F17) Products of subgroups of abstract finite groups (20D40)

Related Items (6)

On a question of T. Hawkes ⋮ Products of F∗(G)-subnormal subgroups of finite groups ⋮ Unnamed Item ⋮ New characterizations of \(\sigma\)-nilpotent finite groups ⋮ FINITE TRIFACTORISED GROUPS AND -DECOMPOSABILITY ⋮ On the lattice of \(\mathcal F\)-Dnormal subgroups in finite soluble groups

Cites Work

• Products of groups with finite rank
• On \({\mathcal F}\)-subnormal subgroups and \({\mathcal F}\)-residuals of finite soluble groups
• On the lattice of \(\mathcal F\)-subnormal subgroups
• Finite soluble groups
• Finite trifactorized groups and formations

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