Butler groups cannot be classified by certain invariants

Paul Hill; Charles Megibben

Rendiconti del Seminario Matematico della Università di Padova (1993)

  • Volume: 90, page 67-79
  • ISSN: 0041-8994

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Hill, Paul, and Megibben, Charles. "Butler groups cannot be classified by certain invariants." Rendiconti del Seminario Matematico della Università di Padova 90 (1993): 67-79. <http://eudml.org/doc/108310>.

@article{Hill1993,
author = {Hill, Paul, Megibben, Charles},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {quasi-isomorphic -groups; balanced exact sequences; completely decomposable of finite rank; type; balanced subgroups; typesets; cotypesets; endomorphism rings; Richman type; invariants; Butler groups},
language = {eng},
pages = {67-79},
publisher = {Seminario Matematico of the University of Padua},
title = {Butler groups cannot be classified by certain invariants},
url = {http://eudml.org/doc/108310},
volume = {90},
year = {1993},
}

TY - JOUR
AU - Hill, Paul
AU - Megibben, Charles
TI - Butler groups cannot be classified by certain invariants
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1993
PB - Seminario Matematico of the University of Padua
VL - 90
SP - 67
EP - 79
LA - eng
KW - quasi-isomorphic -groups; balanced exact sequences; completely decomposable of finite rank; type; balanced subgroups; typesets; cotypesets; endomorphism rings; Richman type; invariants; Butler groups
UR - http://eudml.org/doc/108310
ER -

References

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  1. [AR1] D. Arnold, Finite Rank Torsion Free Abelian Groups and Rings, Lecture Notes in Mathematics, 931, Springer-Verlag, New York (1982). Zbl0493.20034MR665251
  2. [AR2] D. Arnold, Pure Subgroups of Finite Rank Completely Decomposable Groups, Lecture Notes in Mathematics, 874, Springer-Verlag, New York (1981), pp. 1-31. Zbl0466.20030MR645913
  3. [AV1] D. Arnold - C. Vinsonhaler, Pure Subgroups of Finite Rank Completely Decomposable Groups II, Lecture Notes in Mathematics, 1006, Springer-Verlag, New York (1983), pp. 97-143. Zbl0522.20037MR722614
  4. [AV2] D. Arnold - C. Vinsonhaler, Invariants for a class of torsion-free abelian groups, Proc. Amer. Math. Soc., 105 (1989), pp. 293-300. Zbl0673.20033MR935102
  5. [AV3] D. Arnold - C. Vinsonhaler, Quasi-isomorphism invariants for a class of torsion-free abelian groups, Houston J. Math., 15 (1989), pp. 327-340. Zbl0695.20031MR1032393
  6. [AV4] D. Arnold - C. Vinsonhaler, Duality and invariants for Butler groups, Pacific J. Math., 148 (1991), pp. 1-10. Zbl0752.20026MR1091526
  7. [BP1] R.A. Beaumont - R. Pierce, Torsion free rings, Illinois J. Math., 5 (1961), pp. 61-98. Zbl0108.03802MR148706
  8. [BP2] R.A. Beaumont - R. Pierce, Torsion free groups of rank two, Mem. Amer. Math. Soc., 38 (1961). Zbl0122.27802MR130297
  9. [BUT] M.C.R. Butler, A class of torsion-free abelian groups of finite rank, Proc. Lond. Math. Soc., 15 (1965), pp. 680-698. Zbl0131.02501MR218446
  10. [FU] L. Fuchs, Infinite Abelian Groups, Vol. II, Academic Press, New York (1973). Zbl0257.20035MR349869
  11. [HM1] P. Hill - C. Megibben, Torsion free groups, Trans. Amer. Math. Soc., 295 (1986), pp. 735-751. Zbl0597.20047MR833706
  12. [HM2] P. Hill - C. Megibben, The classification of certain Butler groups, J. Algebra, to appear. Zbl0809.20047MR1244926
  13. [HM3] P. Hill - C. Megibben, Equivalence theorems for torsion-free groups, to appear. Zbl0801.20036MR1217269

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