Skip to main content
Log in

A theorem on finitely generated hyperabelian groups

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. Baer, R.: Representations of groups as quotient groups II. Trans. Amer. Math. Soc.58, 348–389 (1945).

    Google Scholar 

  2. —: Nil-Gruppen. Math. Zeit.62, 402–437 (1955).

    Google Scholar 

  3. Hall, P.: Finiteness conditions for soluble groups. Proc. London Math. Soc. (3),4, 419–436 (1954).

    Google Scholar 

  4. —: On the finiteness of certain soluble groups. Proc. Lond n Math. Soc. (3),9, 595–622 (1959).

    Google Scholar 

  5. —: The Frattini subgroup of finitely generated groups. Proc. London Math. Soc. (3),11, 327–352 (1961).

    Google Scholar 

  6. Hirsch, K. A.: On infinite soluble groups III. Proc. London Math. Soc. (2),49, 184–194 (1946).

    Google Scholar 

  7. Robinson, D.JJ. S.: Residual properties of some classes of infinite soluble groups. Proc. London Math. Soc. (3),18, 495–520 (1968).

    Google Scholar 

  8. —: A property of the lower central series of a groùp. Math. Zeit.107, 225–231 (1968).

    Google Scholar 

  9. Thompson, J. G.: Finite groups with fixed-point-free automorphisms of prime order. Proc. Nat. Acad. Sci.45, 578–581 (1959).

    Google Scholar 

  10. Wehrfritz, B. A. F.: Frattini subgroups in finitely generated linear groups. J. London Math. Soc.43, 619–622 (1968).

    Google Scholar 

  11. Zappa, G.: Sugli automorfismi uniformi nei gruppi di Hirsch. Ricerche Mat.7, 3–13 (1958).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Robinson, D.J.S. A theorem on finitely generated hyperabelian groups. Invent Math 10, 38–43 (1970). https://doi.org/10.1007/BF01402969

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01402969

Navigation