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)


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


Cyclic Group Admissible Pair Natural Homomorphism Pure Subgroup Dense Subgroup 
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  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

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