Keywords
- Normal Subgroup
- Soluble Group
- Commutator Subgroup
- Nilpotence Class
- Metabelian Group
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R. Brandl — On groups with certain lattices of normal subgroups, Arch. Math., to appear.
Y. Cheng — On finite p-groups with cyclic commutator subgroup, Arch. Math., 39 (1982), 295–298.
M. Curzio — Una caratterizzazione reticolare dei gruppi abeliani, Rend. Mat., 24 (1965), 1–10.
A. Franchetta — F. Tuccillo — Su una classe di gruppi ipercentrali, Atti Accad. Naz. Lincei, 59 (1975), 232–237.
F. de Giovanni — S. Franciosi — Alcuni epimorfismi tra reticoli di sottogruppi normali, Ist. Lombardo (Rend. Sco.), A 116 (1982), 45–53.
F. de Giovanni — S. Franciosi — Isomorfismi tra reticoli di sottogruppi normali di gruppi nilpotenti senza torsione, Ann. Univ. Ferrara Sc. Mat., 91 (1985), 91–98.
H. Heineken — Über die Charakterisierung von Gruppen durch gewisse Untergruppenverbände, J. Reine Angew. Math., 220 (1965), 30–36.
P. Longobardi — M. Maj — Su di un teorema di Heineken, Riv. Mat. Univ. Parma, 4 (1976), 315–320.
P. Longobardi — M. Maj — Su alcuni gruppi con il reticolo dei sottogruppi normali isomorfo al reticolo dei sottogruppi normali di un produtto libero, Rend. Mat., 3 (1983), 725–734.
D. J. S. Robinson — A Course in the Theory of Groups, Springer-Verlag, Berlin 1980.
M. Suzuki — Structure of a group and the structure of its lattice of subgroups, Springer-Verlag, Berlin 1965.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Longobardi, P., Maj, M. (1987). On the nilpotence of groups with a certain lattice of normal subgroups. In: Kegel, O.H., Menegazzo, F., Zacher, G. (eds) Group Theory. Lecture Notes in Mathematics, vol 1281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078695
Download citation
DOI: https://doi.org/10.1007/BFb0078695
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18399-0
Online ISBN: 978-3-540-47948-2
eBook Packages: Springer Book Archive
