ArticleOriginal scientific text
Title
Finite groups with globally permutable lattice of subgroups
Authors 1, 1
Affiliations
- Institute of Mathematics, University of Białystok, Akademicka 2, 15-267 Białystok, Poland
Abstract
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.
Bibliography
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Pages:
65-77
Main language of publication
English
Received
1999-02-15
Accepted
1999-04-01
Published
1999
Exact and natural sciences