Finite groups with modular chains

• Autorzy: Roland Schmidt
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 06C10: Semimodular lattices, geometric lattices
• 20D30: Series and lattices of subgroups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 131
• Numer: 2
• Strony: 195-208

Daty

wydano

2013

Twórcy

autor

Roland Schmidt

• Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-Str. 4, D-24098 Kiel, Germany

Identyfikatory

DOI

10.4064/cm131-2-3