On some subgroups of infinite rank Butler groups

Manfred Dugas

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 79, page 153-161
  • ISSN: 0041-8994

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Dugas, Manfred. "On some subgroups of infinite rank Butler groups." Rendiconti del Seminario Matematico della Università di Padova 79 (1988): 153-161. <http://eudml.org/doc/108090>.

@article{Dugas1988,
author = {Dugas, Manfred},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {torsion-free abelian group; Butler group; subfunctor of Ext; balanced extensions; countable pure subgroups; regular map; injective hull},
language = {eng},
pages = {153-161},
publisher = {Seminario Matematico of the University of Padua},
title = {On some subgroups of infinite rank Butler groups},
url = {http://eudml.org/doc/108090},
volume = {79},
year = {1988},
}

TY - JOUR
AU - Dugas, Manfred
TI - On some subgroups of infinite rank Butler groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 79
SP - 153
EP - 161
LA - eng
KW - torsion-free abelian group; Butler group; subfunctor of Ext; balanced extensions; countable pure subgroups; regular map; injective hull
UR - http://eudml.org/doc/108090
ER -

References

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  1. [A-H] U. Albrecht - P. Hill, Butler groups of infinite rank and axiom 3, preprint. Zbl0628.20045
  2. [A1] D. Arnold, Pure subgroups of finite rank completely decomposable groups, Lecture Notes in Mathematics, Vol. 874, pp. 1-31, Springer-Verlag, Berlin, Heidelberg, New York. Zbl0466.20030MR645913
  3. [A2] D. Arnold, Notes on Butler groups and balanced extensions, preprint. Zbl0601.20050
  4. [B] L. Bican, Splitting in mixed groups, Czech. Math. J., 28 (1978), pp. 356-364. Zbl0421.20022MR480778
  5. [Bu] M.C.R. Butler, A class of torsion-free abelian groups of finite rank, Proc. London Math. Soc., 15 (1965), pp. 680-698. Zbl0131.02501MR218446
  6. [B-S] L. Bican - L. Salce, Butler groups of infinite rank, Lecture Notes in Mathematics, Vol. 1006, pp. 171-189, Springer-Verlag, 1983. Zbl0515.20035MR722617
  7. [B-S-S] L. Bican - L. Salce - J. Stepan, A characterization of countable Butler groups, preprint. Zbl0583.20041
  8. [D-R] M. Dugas - K.M. Rangaswamy, On Butler groups of uncountable rank, tc appear in Trans. Amer. Math. Soc. 
  9. [F] L. Fuchs, Infinite Abelian Groups, Vol. I and II, Academic Press, London, New York, 1970 and 1973. Zbl0209.05503MR255673
  10. [H1] P. Hill, Isotype subgroups of totally projective groups, Lecture Notes in Mathematics, Vol. 874, pp. 305-321, Springer-Verlag. Zbl0466.20028MR645937
  11. [H2] P. Hill, The third axiom of countability for Abelian groups, Proc. Amer. Math. Soc., 82 (1981), pp. 347-350. Zbl0467.20041MR612716
  12. [Hu] R. Hunter, Balanced subgroups of Abelian groups, Trans. Amer. Math. Soc., 215 (1976), pp. 81-98. Zbl0321.20035MR507068

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