Groups with Few Nonmodular Subgroups

• Datum: 2004
• Hauptverfasser: De, Mari F., Де, Марі Ф.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3854
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice.