Factor-splitting length of torsionfree abelian groups of rank two

Ladislav Bican

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 70, page 77-88
  • ISSN: 0041-8994

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Bican, Ladislav. "Factor-splitting length of torsionfree abelian groups of rank two." Rendiconti del Seminario Matematico della Università di Padova 70 (1983): 77-88. <http://eudml.org/doc/107923>.

@article{Bican1983,
author = {Bican, Ladislav},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {splitting length of mixed abelian group; tensor power; factor splitting length of torsion-free group; rank two torsion-free group},
language = {eng},
pages = {77-88},
publisher = {Seminario Matematico of the University of Padua},
title = {Factor-splitting length of torsionfree abelian groups of rank two},
url = {http://eudml.org/doc/107923},
volume = {70},
year = {1983},
}

TY - JOUR
AU - Bican, Ladislav
TI - Factor-splitting length of torsionfree abelian groups of rank two
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 70
SP - 77
EP - 88
LA - eng
KW - splitting length of mixed abelian group; tensor power; factor splitting length of torsion-free group; rank two torsion-free group
UR - http://eudml.org/doc/107923
ER -

References

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  1. [1] L. Bican, Mixed abelian groups of torsionfree rank one, Czech. Math. J., 20 (1970), pp. 232-242. Zbl0198.34604MR258947
  2. [2] L. Bican, Factor-splitting abelian groups of rank two, Comment. Math. Univ. Carolinae, 11 (1970), pp. 1-8. Zbl0197.02103MR262354
  3. [3] L. Bican, Factor-splitting abelian groups of finite rank, Comment. Math Univ. Carolinae, 17 (1976), pp. 473-480. Zbl0344.20039MR417312
  4. [4] L. Bican, Factor-splitting abelian groups of arbitrary rank, Comment. Math. Univ. Carolinae, 19 (1978), pp. 653-672. Zbl0415.20041MR518178
  5. [5] L. Bican: The splitting length of mixed abelian groups of rank one, Czech. Math. J., 27 (1977), pp. 144-154. Zbl0355.20054MR432782
  6. [6] L. Bican: The splitting of the tensor product of two mixed abelian groups of rank one, to appear. Zbl0528.20037MR699020
  7. [7] L. Fuchs, Abelian groups, Budapest, 1958. Zbl0091.02704MR106942
  8. [8] L. Fuchs, Infinite abelian groups I, Academic Press, New York and London, 1970. Zbl0209.05503MR255673
  9. [9] L. Fuchs, Infinite abelian groups II, Academic Press, New York and London, 1973. Zbl0257.20035MR349869
  10. [10] I.M. Irwin - S.A. Khabbaz - G. Rayna, The rôle of the tensor product in the splitting of abelian groups, J. Algebra, 14 (1970), pp. 423-442. Zbl0206.31202MR255675
  11. [11] L. Procházka, O rasčcepljajemosti faktorgrupp abelevych grupp bez kručcenija konečcnogo ranga (Russian), Czech. Math. J., 11 (1961), pp. 521-557. MR142657
  12. [12] L. Procházka, Zametka o faktorno rasčceptjajemych abelevych gruppach (Russian), Čas. pest. mat., 12 (1962), pp. 404-414. Zbl0135.06005MR204520
  13. [13] A.I. Stratton, A splitting theorem for mixed abelian groups, Symposia Mathematica, Vol. XIII, Academic Press, London, 1974, pp. 109-125. Zbl0315.20043MR369569

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