Der Torsionstyp nilpotenter Gruppen

Hans Peter Heislbetz

Rendiconti del Seminario Matematico della Università di Padova (1994)

  • Volume: 91, page 85-113
  • ISSN: 0041-8994

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Heislbetz, Hans Peter. "Der Torsionstyp nilpotenter Gruppen." Rendiconti del Seminario Matematico della Università di Padova 91 (1994): 85-113. <http://eudml.org/doc/108329>.

@article{Heislbetz1994,
author = {Heislbetz, Hans Peter},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {torsion-free abelian groups of finite rank; outer types; torsion-free nilpotent groups; upper central series; lower central series; torsion types; commutator identities},
language = {ger},
pages = {85-113},
publisher = {Seminario Matematico of the University of Padua},
title = {Der Torsionstyp nilpotenter Gruppen},
url = {http://eudml.org/doc/108329},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Heislbetz, Hans Peter
TI - Der Torsionstyp nilpotenter Gruppen
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1994
PB - Seminario Matematico of the University of Padua
VL - 91
SP - 85
EP - 113
LA - ger
KW - torsion-free abelian groups of finite rank; outer types; torsion-free nilpotent groups; upper central series; lower central series; torsion types; commutator identities
UR - http://eudml.org/doc/108329
ER -

References

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  1. [1] G. Baumslag, Some aspects of groups with unique roots, Acta Math., 104 (1960), pp. 217-303. Zbl0178.34901MR122859
  2. [2] G. Baumslag, Lecture Notes on Nilpotent Groups, American Mathematical Society, Providence, R.I. (1971). Zbl0241.20001MR283082
  3. [3] L. Fuchs, Infinite Abelian Groups I+II, New York (1970, 1973). Zbl0209.05503
  4. [4] P. Hall, The Edmonton Notes on Nilpotent Groups, Queen Mary College Mathematics Notes (1969). MR283083
  5. [5] H.P. Heislbetz, Dividierbarkeit und Typenbedingungen in verallgemeinerten nilpotenten Gruppen, Monatshefte für Mathematik, erscheint. Zbl0813.20038
  6. [6] H.P. Heislbetz - O. Mutzbauer, Invariante Typen in torsionsfreien, auf lösbaren Gruppen endlichen Ranges, Arch. Math., 55 (1990), pp. 10-24. Zbl0681.20025MR1059509
  7. [7] A.G. Kurosh, The Theory of Groups, 2nd volume, 2nd edition, New York (1960). Zbl0094.24501MR109842
  8. [8] O. Mutzbauer, Type invariants of torsion-free Abelian groups, in Abelian Group Theory, Proceedings, Perth1989, Contemporary Math., 87 (1989), pp. 133-154. Zbl0677.20042MR995271
  9. [9] P. Ribenboim, The Book of Prime Number Records, Berlin-Heidelberg-New York (1988). Zbl0642.10001MR931080
  10. [10] D.J.S. Robinson, A Course in the Theory of Groups, Berlin-Heidelberg-New York (1982). Zbl0483.20001MR648604
  11. [11] R.B. Warfieldjr., Nilpotent Groups, Lecture Notes Math., 513, Berlin -Heidelberg-New York (1976). Zbl0347.20018
  12. [12] D.I. Zaicev, On soluble groups of finite rank, Soviet Math. Dokl., 9 (1968), pp. 783-785. Zbl0179.04401

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