Groups with metamodular subgroup lattice

• Autorzy: M. De Falco , F. de Giovanni , C. Musella , R. Schmidt
• Języki publikacji: EN

Abstrakty

EN

A group G is called metamodular if for each subgroup H of G either the subgroup lattice 𝔏(H) is modular or H is a modular element of the lattice 𝔏(G). Metamodular groups appear as the natural lattice analogues of groups in which every non-abelian subgroup is normal; these latter groups have been studied by Romalis and Sesekin, and here their results are extended to metamodular groups.

Kategorie tematyczne

• 20F24: FC-groups and their generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 95
• Numer: 2
• Strony: 231-240

Daty

wydano

2003

Twórcy

autor

M. De Falco

• Dipartimento di Matematica e Applicazioni, Università di Napoli, via Cintia, I-80126 Napoli, Italy

autor

F. de Giovanni

• Dipartimento di Matematica e Applicazioni, Università di Napoli, via Cintia, I-80126 Napoli, Italy

autor

C. Musella

• Dipartimento di Matematica e Applicazioni, Università di Napoli, via Cintia, I-80126 Napoli, Italy

autor

R. Schmidt

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

Identyfikatory

DOI

10.4064/cm95-2-7