On certain distributive lattices of subgroups of finite soluble groups.

DOI10.1007/s10114-005-0925-6zbMath1140.20016OpenAlexW2006716531MaRDI QIDQ2477801

Xaro Soler-Escrivà, Luis M. Ezquerro

Publication date: 14 March 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0925-6

zbMATH Keywords

soluble groupsfinite groupsdistributive latticessaturated formationssubgroup latticesfactorizationspermutabilitylattice propertiesprefrattini subgroupshypercentrally embedded subgroupscover-avoidance propertiesdistributive sublattices

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

On second minimal subgroups of Sylow subgroups of finite groups. ⋮ Abundant semigroups with a quasi-ideal quasi-adequate transversal.

Cites Work

• Unnamed Item
• Unnamed Item
• Finite soluble groups
• Subgroups permutable with all Sylow subgroups
• Hypercentral embedding and pronormality
• Some permutability properties related to \(\mathfrak F\)-hypercentrally embedded subgroups of finite groups
• Subgroup lattices of groups
• Some new permutability properties of hypercentrally embedded subgroups of finite groups
• The Jordan-Hölder theorem and prefrattini subgroups of finite groups
• On Certain Sublattices of the Lattice of Subgroups Generated by the Prefrattini Subgroups, the Injectors and the Formation Subgroups
• On maximal subgroups of finite groups

This page was built for publication: On certain distributive lattices of subgroups of finite soluble groups.