Skip to main content
SpringerLink
Log in

Prodotti di gruppi nilpotenti

  • Conferenze
  • Published:
Rendiconti del Seminario Matematico e Fisico di Milano Aims and scope Submit manuscript

Sunto

Sono esaminati alcuni problemi riguardanti la struttura dei gruppi fattorizzati da due sottogruppi nilpotenti, ed in particolare le possibili limitazioni per la lunghezza di Fitting di tali gruppi.

Summary

Problems concerning the structure of groups factorized by two nilpotente subgroups are considered. In particular, the existence of bounds for the Fitting length of such groups is discussed.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Bibliografia

  1. Amberg B., Franciosi S., de Giovanni F., Groups with a nilpotent triple factorisation,Bull. Austral. Math. Soc. 37 (1988), 69–79.

    MathSciNet  MATH  Google Scholar 

  2. Amberg B., Franciosi S., de Giovanni F., Groups with a supersoluble triple factorization,J. Algebra 117 (1988), 136–148.

    Article  MathSciNet  MATH  Google Scholar 

  3. Amberg B., Franciosi S., de Giovanni F., Triply factorized groups,Comm. Algebra 18 (1990), 789–809.

    Article  MathSciNet  MATH  Google Scholar 

  4. Černikov N. S., Infinite groups that are products of nilpotent groups,Dokl. Akad. Nauk SSSR 252 (1980), 57–60 =Soviet Math. Dokl. 21 (1980), 701–703.

    MathSciNet  Google Scholar 

  5. Franciosi S., de Giovanni F., On the Hirsch-Plotkin radical of a factorized group,Glasgow J. Math. 34 (1992), 193–199.

    MATH  Google Scholar 

  6. Franciosi S., de Giovanni F., Heineken H., Newell M. L., On the Fitting length of a soluble product of nilpotent groups,Arch. Math. (Basel) 57 (1991), 313–318.

    MathSciNet  MATH  Google Scholar 

  7. Gross F., Finite groups which are the product of two nilpotent subgroups,Bull. Austral. Math. Soc. 9 (1973), 267–274.

    Article  MathSciNet  MATH  Google Scholar 

  8. Itô N., Über das Produkt von zwei abelschen Gruppen,Math. Z. 62 (1955), 400–401.

    Article  MathSciNet  MATH  Google Scholar 

  9. Kazarin L. S., On a problem of Szèp,Izv. Akad. Nauk SSSR 50 (1986), 479–507 =Math. USSR Izv. 28 (1987), 467–495.

    MathSciNet  MATH  Google Scholar 

  10. Kegel O. H., Produkte nilpotenter Gruppen,Arch. Math. (Basel) 12 (1961), 90–93.

    MathSciNet  MATH  Google Scholar 

  11. Kegel O. H., On the solvability of some factorized linear groups,Illinois J. Math. 9 (1965), 535–547.

    MathSciNet  MATH  Google Scholar 

  12. Maier R., Endliche metanilpotente Gruppen,Arch. Math. (Basel) 23 (1972), 139–144.

    MathSciNet  MATH  Google Scholar 

  13. Pennington E., On products of finite nilpotent groups,Math. Z. 134 (1973), 81–83.

    Article  MathSciNet  MATH  Google Scholar 

  14. Suckov N. M., Example of a mixed group factorized by two periodic subgroups,Algebra i Logika 23 (1984), 573–577 =Algebra and Logic 23 (1984), 385–387.

    MathSciNet  Google Scholar 

  15. Sysak Y. P., Products of infinite groups,Preprint 82.53, Akad. Nauk Ukrain. Inst. Mat. Kiev (1982).

  16. Wielandt H., Über Produkte von nilpotenten Gruppen,Illinois J. Math. 2 (1958), 611–618.

    MathSciNet  MATH  Google Scholar 

  17. Wielandt H., Subnormalität in faktorisierten endlichen Gruppen,J. Algebra 69 (1981), 305–311.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. dell'Università di Napoli «Federico II», Napoli, Italia

    Francesco de Giovanni

Authors
  1. Francesco de Giovanni
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

(Conferenza tenuta il 2 giugno 1992)

Rights and permissions

Reprints and permissions

About this article

Cite this article

de Giovanni, F. Prodotti di gruppi nilpotenti. Seminario Mat. e. Fis. di Milano 61, 257–265 (1991). https://doi.org/10.1007/BF02925209

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02925209

Search

Navigation