Geodesic
Finite groups with globally permutable lattice of subgroups
Colloquium Mathematicum, Tome 82 (1999) no. 1, pp. 65-77.

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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.
DOI : 10.4064/cm-82-1-65-77

C. Bagiński 1 ; A. Sakowicz 1

1 
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C. Bagiński; A. Sakowicz. Finite groups with globally permutable lattice of subgroups. Colloquium Mathematicum, Tome 82 (1999) no. 1, pp. 65-77. doi : 10.4064/cm-82-1-65-77. http://geodesic.mathdoc.fr/articles/10.4064/cm-82-1-65-77/

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