Geodesic
Finite groups with modular chains
Roland Schmidt1
1 Mathematisches Seminar Universität Kiel Ludewig-Meyn-Str. 4 D-24098 Kiel, Germany
Colloquium Mathematicum, Tome 131 (2013) no. 2, pp. 195-208

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In 1954, Kontorovich and Plotkin introduced the concept of a modular chain in a lattice to obtain a lattice-theoretic characterization of the class of torsion-free nilpotent groups. We determine the structure of finite groups with modular chains. It turns out that this class of groups lies strictly between the class of finite groups with lower semimodular subgroup lattice and the projective closure of the class of finite nilpotent groups.
DOI : 10.4064/cm131-2-3
Keywords: kontorovich plotkin introduced concept modular chain lattice obtain lattice theoretic characterization class torsion free nilpotent groups determine structure finite groups modular chains turns out class groups lies strictly between class finite groups lower semimodular subgroup lattice projective closure class finite nilpotent groups

Roland Schmidt 1

1 Mathematisches Seminar Universität Kiel Ludewig-Meyn-Str. 4 D-24098 Kiel, Germany 
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Roland Schmidt. Finite groups with modular chains. Colloquium Mathematicum, Tome 131 (2013) no. 2, pp. 195-208. doi: 10.4064/cm131-2-3

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