Skip to main content

Extension categories : General theory

  • 501 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 143)

Keywords

  • Direct Summand
  • Cohomology Class
  • Projective Cover
  • Essential Extension
  • Split Extension

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Sources and References

  1. Artin, E. and Tate, J.: Class field theory; Benjamin, New York, 1967.

    MATH  Google Scholar 

  2. Baer, R.: Endlichkeitskriterien für Kommutatorgruppen, Math. Annalen 124 (1952) 161–177.

    CrossRef  MATH  MathSciNet  Google Scholar 

  3. Charlap, L.: Compact flat Riemannian manifolds, I, Ann. of Math. 81 (1965), 15–30.

    CrossRef  MATH  MathSciNet  Google Scholar 

  4. Hall, P.: The classification of prime-power groups, Crelle 182 (1940) 130–141.

    MATH  MathSciNet  Google Scholar 

  5. Hall, P.: Finite-by-nilpotent groups, Proc. Cambridge Phil.Soc. 52 (1956) 611–616.

    CrossRef  MATH  MathSciNet  Google Scholar 

  6. Kaplansky, I.: An introduction to differential algebra; Hermann, Paris, 1957.

    MATH  Google Scholar 

  7. MacLane, S.: Categorical algebra, Bull.Amer.Math.Soc. 71 (1965) 40–106.

    CrossRef  MATH  MathSciNet  Google Scholar 

  8. Schur, I.: Über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen, Crelle 127 (1904), 20–50.

    MATH  MathSciNet  Google Scholar 

  9. Swan, R.G.: Algebraic K-theory, Springer Lecture Notes Vol. 76 (1968).

    Google Scholar 

  10. Turner-Smith, R.F.: Marginal subgroup properties for outer commutator words, Proc.London Math.Soc. 14 (1964) 321–341.

    CrossRef  MATH  MathSciNet  Google Scholar 

  11. Wolf, J.A.: Spaces of constant curvature, McGraw-Hill 1967.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1970 Springer-Verlag

About this chapter

Cite this chapter

Gruenberg, K.W. (1970). Extension categories : General theory. In: Cohomological Topics in Group Theory. Lecture Notes in Mathematics, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059171

Download citation

  • DOI: https://doi.org/10.1007/BFb0059171

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04932-6

  • Online ISBN: 978-3-540-36303-3

  • eBook Packages: Springer Book Archive