Skip to main content

Primary abelian groups and the normal structure of their automorphism groups

  • Conference paper
  • First Online:
Conference on Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 319))

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 39.95
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. Baer, Primary abelian groups and their automorphisms, Amer. J. Math., 59 (1937), 99–117.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Diendonné, Les determinants sur un corps non commutatif, Bull. Soc. Math., France 71 (1943), 27–45.

    MathSciNet  Google Scholar 

  3. J. Hausen, Automorphismengesättigte Klassen abzählbarer abelscher Gruppen, Studies on Abelian Groups, New York 1968, pp. 147–181.

    MATH  Google Scholar 

  4. _____, Abelian torsion groups with artinian primary components and their automorphisms, Fund. Math., 71 (1971), 273–283.

    MathSciNet  MATH  Google Scholar 

  5. _____, On the normal structure of automorphism groups of abelian p-groups, J. London Math. Soc., (2) 5 (1972), to appear.

    Google Scholar 

  6. _____, The automorphism group of an abelian p-group and its noncentral normal subgroups, to appear.

    Google Scholar 

  7. A. Rosenberg, The structure of the infinite general linear group, Ann. of Math., 68 (1958), 278–294.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

R. W. Gatterdam K. W. Weston

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer Verlag

About this paper

Cite this paper

Hausen, J. (1973). Primary abelian groups and the normal structure of their automorphism groups. In: Gatterdam, R.W., Weston, K.W. (eds) Conference on Group Theory. Lecture Notes in Mathematics, vol 319. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058934

Download citation

  • DOI: https://doi.org/10.1007/BFb0058934

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06205-9

  • Online ISBN: 978-3-540-38479-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics