Finite groups with \(L\)-free lattices of subgroups.

zbMath1193.20018MaRDI QIDQ733360

Agnieszka Stocka, Czesław Bagiński

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1254403720

zbMATH Keywords

finite groupssubgroup latticeslattices of subgroups\(L\)-free groupsstrongly balanced lattices

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Modular lattices, Desarguesian lattices (06C05)

Related Items

Irredundant families of maximal subgroups of finite solvable groups ⋮ Finite \(p\)-groups all of whose \(d\)-generated subgroups are powerful.

Cites Work

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• Powerful \(p\)-groups. I: Finite groups.
• On the occurrence of the complete graph \(K_5\) in the Hasse graph of a finite group.
• \(L\)-free groups.
• Subgroup lattices of groups
• Planar subgroup lattices.
• Nilpotent Groups in Which the Derived Group Has Two Generators
• Finite groups with globally permutable lattice of subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I

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