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.
@article{bwmeta1.element.bwnjournal-article-cmv82i1p65bwm,
author = {C. Bagi\'nski and A. Sakowicz},
title = {Finite groups with globally permutable lattice of subgroups},
journal = {Colloquium Mathematicae},
volume = {79},
year = {1999},
pages = {65-77},
zbl = {0948.20011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv82i1p65bwm}
}
Bagiński, C.; Sakowicz, A. Finite groups with globally permutable lattice of subgroups. Colloquium Mathematicae, Tome 79 (1999) pp. 65-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv82i1p65bwm/
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