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On the p-ranks of Ext(A, G), assuming CH

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References

  1. Chase, S.: Locally free modules and a problem of Whitehead, Illinois J. Math. 6 (1962), 682–699.

    MathSciNet  MATH  Google Scholar 

  2. Chase, S.: Function topologies on Abelian groups, Illinois J. Math. 7 (1963), 593–608.

    MathSciNet  MATH  Google Scholar 

  3. Chase, S.: On group extensions and a problem of J.H.C. Whitehead, 173–193 in Topics in Abelian Groups, Scott, Foresman and Co., Chicago 1963.

    Google Scholar 

  4. Eklof, P. and Huber, M.: Abelian group extensions and the Axiom of Constructibility, Comment. Math. Helv. 54 (1979), 440–457.

    Article  MathSciNet  MATH  Google Scholar 

  5. Eklof, P. and Huber M.: On the rank of Ext, Math. Z. 174 (1980), 159–185.

    Article  MathSciNet  MATH  Google Scholar 

  6. Fuchs, L.: Infinite Abelian Groups, Vol. I, Academic Press, New York 1970.

    MATH  Google Scholar 

  7. Griffith, P.: Separability of torsion-free groups and a problem of J.H.C. Whitehead, Illinois J. Math. 12 (1968), 654–659.

    MathSciNet  MATH  Google Scholar 

  8. Hausen, J.: On generalizations of projectivity for modules over Dedekind domains, J. Austral. Math. Soc., to appear.

    Google Scholar 

  9. Hiller, H., Huber, M. and Shelah, S.: The structure of Ext(A, ℤ) and V=L, Math. Z. 162 (1978), 39–50.

    Article  MathSciNet  MATH  Google Scholar 

  10. Hiremath, V. A.: Finitely projective modules over a Dedekind domain, J. Aus. Math. Soc. 26 (1978), 330–336.

    Article  MathSciNet  MATH  Google Scholar 

  11. Huber, M. and Warfield, Jr., R.: On the torsion subgroup of Ext(A,G), Arch. Math. (Basel) 32 (1979), 5–9.

    Article  MathSciNet  MATH  Google Scholar 

  12. Jensen, C.: Les Foncteures Dérivés de lim et leurs Applications en Theorie des Modules. Lecture Notes in Math. No. 254, Springer-Verlag, Berlin 1972.

    MATH  Google Scholar 

  13. Kaplansky, I.: Infinite Abelian Groups, rev. ed., Univ. of Michigan Press, Ann Arbor 1969.

    MATH  Google Scholar 

  14. Murley, C.: The classification of certain classes of torsion-free Abelian groups, Pac. J. Math. 40 (1972), 647–665.

    Article  MathSciNet  MATH  Google Scholar 

  15. Sageev, G. and Shelah, S.: On the structure of Ext(A,Z) in L. Preprint 1980.

    Google Scholar 

  16. Shelah, S.: On the structure of Ext(G,Z) assuming V=L. Preprint 1979.

    Google Scholar 

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Rüdiger Göbel Elbert Walker

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© 1981 Springer-Verlag

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Eklof, P.C., Huber, M. (1981). On the p-ranks of Ext(A, G), assuming CH. In: Göbel, R., Walker, E. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 874. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090528

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  • DOI: https://doi.org/10.1007/BFb0090528

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  • Print ISBN: 978-3-540-10855-9

  • Online ISBN: 978-3-540-38767-1

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