Skip to main content
Log in

Amalgamation of locally finitep-groups over a countableFC-group

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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. L.Fuchs, Infinite abelian groups, vol. 2. New York-London 1973.

  2. R. J. Gregorac, On permutational products of groups. J. Austral. Math. Soc.10, 111–135 (1969).

    Google Scholar 

  3. O. Grün, Beiträge zur Gruppentheorie I. J. Reine Angew. Math.174, 1–14 (1935).

    Google Scholar 

  4. K. Hickin, An amalgamation theorem for group extensions. Arch. Math.45, 485–491 (1985).

    Google Scholar 

  5. W.Hodges, Building models by games. Cambridge 1985.

  6. O. H.Kegel and B. A. F.Wehrfritz, Locally finite groups. Amsterdam-London 1973.

  7. F. Leinen, Existentially closedL \(\mathfrak{X}\)-groups. Rend. Sem. Mat. Univ. Padova75, 191–226 (1986).

    Google Scholar 

  8. F. Leinen, Existentially closed groups in locally finite group classes. Comm. Algebra13, 1991–2024 (1985).

    Google Scholar 

  9. F. Leinen, Existentially closed locally finitep-groups. J. Algebra103, 160–183 (1986).

    Google Scholar 

  10. F. Leinen, A uniform way to control chief series in finitep-groups and to construct the countable algebraically closed locally finitep-groups. J. London Math. Soc. (2)33, 260–270 (1986).

    Google Scholar 

  11. F. Leinen, An amalgamation theorem for soluble groups. Canad. Math. Bull.30, 9–18 (1987).

    Google Scholar 

  12. B. Maier, Existenziell abgeschlossene lokal endlichep-Gruppen. Arch. Math.37, 113–128 (1981).

    Google Scholar 

  13. B. Maier, Two remarks on amalgams of locally finite groups. Bull. Austral. Math. Soc.36, 461–468 (1987).

    Google Scholar 

  14. B. H. Neumann, On amalgams of periodic groups. Proc. Roy. Soc. London (A)255, 477–489 (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leinen, F. Amalgamation of locally finitep-groups over a countableFC-group. Arch. Math 52, 321–332 (1989). https://doi.org/10.1007/BF01194406

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01194406

Navigation