Polycyclic groups with modular finite homomorphic images

Springer Science and Business Media LLC - Tập 76 - Trang 161-165 - 2001
Carmela Musella1
1Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Complesso Universitario di Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy, , IT

Tóm tắt

A group G is said to be a modular group if it has modular subgroup lattice. We will prove in this paper that a polycyclic group G is modular if and only if all its finite homomorphic images are modular groups. Similar results will also be obtained for other conditions of modular type.