A characterization of countable Butler groups

L. Bican; L. Salce; J. Štěpán

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 74, page 51-58
  • ISSN: 0041-8994

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Bican, L., Salce, L., and Štěpán, J.. "A characterization of countable Butler groups." Rendiconti del Seminario Matematico della Università di Padova 74 (1985): 51-58. <http://eudml.org/doc/108008>.

@article{Bican1985,
author = {Bican, L., Salce, L., Štěpán, J.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {pure subgroups; completely decomposable torsionfree groups; Butler groups; Ext; balanced exact sequences; ascending chain conditions; countable pure subgroups; linearly ordered type set},
language = {eng},
pages = {51-58},
publisher = {Seminario Matematico of the University of Padua},
title = {A characterization of countable Butler groups},
url = {http://eudml.org/doc/108008},
volume = {74},
year = {1985},
}

TY - JOUR
AU - Bican, L.
AU - Salce, L.
AU - Štěpán, J.
TI - A characterization of countable Butler groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 74
SP - 51
EP - 58
LA - eng
KW - pure subgroups; completely decomposable torsionfree groups; Butler groups; Ext; balanced exact sequences; ascending chain conditions; countable pure subgroups; linearly ordered type set
UR - http://eudml.org/doc/108008
ER -

References

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  1. [1] D.M. Arnold, Pure subgroups of finite rank completely decomposable groups, Proc. Oberwolfach, Lecture Notes n. 874, 1-31, Springer-Verlag, Berlin, 1981. Zbl0466.20030MR645913
  2. [2] L. Bican, Completely decomposable abelian groups any pure subgroup of which is completely decomposable, Czech. Math. J., 24 (99) (1974), pp. 176-191. Zbl0314.20037MR348009
  3. [3] L. Bican, Splitting in abelian groups, Czech. Math. J., 28 (103) (1978), pp. 356-364. Zbl0421.20022MR480778
  4. [4] L. Bican, Pure subgroups of Butler groups, to appear on the Proc. Udine Conference on Abelian Groups and Modules. Zbl0569.20045MR789818
  5. [5] L. Bican - L. Salce, Butler groups of infinite rank, Proc. Honolulu, Lecture Notes n. 1006, 171-189, Springer-Verlag, Berlin, 1983. Zbl0515.20035MR722617
  6. [6] 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
  7. [7] L. Fuchs, Infinite abelian groups, Vol. I and II, Academic Press, London, New York, 1971 and 1973. Zbl0209.05503MR255673
  8. [8] L. Procházka, On p-rank of torsion free abelian groups of finite rank, Czech. Math. J., 12 (87) (1962), pp. 3-43. Zbl0107.26004MR148739
  9. [9] L. Procházka, A note on completely decomposable torsion free abelian groups, Comment. Math. Univ. Carolinae, 10 (1969), pp. 141-161 Zbl0191.02301MR246964

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