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Finite groups with globally permutable lattice of subgroups

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Bagiński C., Sakowicz A.

Colloquium Mathematicum

1999

tom 82

nr 1

65-77

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Bagiński C.

1 Sakowicz A.

1 1999

Wyniki wyszukiwania

Finite groups with globally permutable lattice of subgroups