Finite groups with globally permutable lattice of subgroups
Tom 82 / 1999
Colloquium Mathematicum 82 (1999), 65-77
DOI: 10.4064/cm-82-1-65-77
Streszczenie
The notions of permutable and globally permutable lattices were first introduced and studied by J. Krempa and B. Terlikowska-Osłowska [4]. These are lattices preserving many interesting properties of modular lattices. In this paper all finite groups with globally permutable lattices of subgroups are described. It is shown that such finite p-groups are exactly the p-groups with modular lattices of subgroups, and that the non-nilpotent groups form an essentially larger class though they have a description very similar to that of non-nilpotent modular groups.
