Skip to main content

On the nilpotence of groups with a certain lattice of normal subgroups

  • Conference paper
  • First Online:
Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1281))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Brandl — On groups with certain lattices of normal subgroups, Arch. Math., to appear.

    Google Scholar 

  2. Y. Cheng — On finite p-groups with cyclic commutator subgroup, Arch. Math., 39 (1982), 295–298.

    Article  MathSciNet  MATH  Google Scholar 

  3. M. Curzio — Una caratterizzazione reticolare dei gruppi abeliani, Rend. Mat., 24 (1965), 1–10.

    MathSciNet  MATH  Google Scholar 

  4. A. Franchetta — F. Tuccillo — Su una classe di gruppi ipercentrali, Atti Accad. Naz. Lincei, 59 (1975), 232–237.

    MathSciNet  MATH  Google Scholar 

  5. F. de Giovanni — S. Franciosi — Alcuni epimorfismi tra reticoli di sottogruppi normali, Ist. Lombardo (Rend. Sco.), A 116 (1982), 45–53.

    Google Scholar 

  6. 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.

    Google Scholar 

  7. H. Heineken — Über die Charakterisierung von Gruppen durch gewisse Untergruppenverbände, J. Reine Angew. Math., 220 (1965), 30–36.

    MathSciNet  MATH  Google Scholar 

  8. P. Longobardi — M. Maj — Su di un teorema di Heineken, Riv. Mat. Univ. Parma, 4 (1976), 315–320.

    MathSciNet  MATH  Google Scholar 

  9. 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.

    MathSciNet  Google Scholar 

  10. D. J. S. Robinson — A Course in the Theory of Groups, Springer-Verlag, Berlin 1980.

    Google Scholar 

  11. M. Suzuki — Structure of a group and the structure of its lattice of subgroups, Springer-Verlag, Berlin 1965.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Otto H. Kegel Federico Menegazzo Giovanni Zacher

Rights and permissions

Reprints 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

Publish with us

Policies and ethics