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Pure Dense Subgroups That are Isomorphic to Every Pure Subgroup Supported by Their Socles

  • Doyle Cutler
Part of the Lecture Notes in Mathematics book series (LNM, volume 1006)

Abstract

All groups in this paper will be abelian p-groups. The notation and terminology will be the same as that in [2].

Keywords

Cyclic Group Admissible Pair Natural Homomorphism Pure Subgroup Dense Subgroup 
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.

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References

  1. [1]
    D. Cutler and C. Missel, The Structure of C—decomposable Pω+n—projective abelian p—groups. (submitted)Google Scholar
  2. [2]
    L. Fuchs, Infinite Abelian Groups, Vol. 1 and 2, Academic Press, New York, 1970 and 1973.Google Scholar
  3. [3]
    L. Fuchs, On pω+n—projective abelian p—groups, Publ. Math. Debrecen, 23 (1976), 309–313.Google Scholar
  4. [4]
    L. Fuchs and J. Irwin, On pω+1—projective p—groups, Proc. London Math. Soc., 30 (1975), 459–470.Google Scholar
  5. [5]
    P. Hill, and C. Megibben, On primary groups with countable basic subgroups, Trans. Amer. Math. Soc., 124 (1966), 49–59.CrossRefGoogle Scholar
  6. [6]
    R. J. Nunke, Purity and subfunctors of the identity, in “Topice in Abelian Groups,” pp. 121–171, Chicago, 1963.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Doyle Cutler

There are no affiliations available

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