Polycyclic groups with modular finite homomorphic images |
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| Authors: | Carmela Musella |
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| Institution: | Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Complesso Universitario di Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy, IT
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| Abstract: | 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. |
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