Amalgams of torsion-free nilpotent groups of class three

Berthold J. Maier

Rendiconti del Seminario Matematico della Università di Padova (1984)

  • Volume: 72, page 231-247
  • ISSN: 0041-8994

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Maier, Berthold J.. "Amalgams of torsion-free nilpotent groups of class three." Rendiconti del Seminario Matematico della Università di Padova 72 (1984): 231-247. <http://eudml.org/doc/107954>.

@article{Maier1984,
author = {Maier, Berthold J.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {embeddings; strong amalgams; free product; torsion-free nilpotent groups; amalgamation base},
language = {eng},
pages = {231-247},
publisher = {Seminario Matematico of the University of Padua},
title = {Amalgams of torsion-free nilpotent groups of class three},
url = {http://eudml.org/doc/107954},
volume = {72},
year = {1984},
}

TY - JOUR
AU - Maier, Berthold J.
TI - Amalgams of torsion-free nilpotent groups of class three
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1984
PB - Seminario Matematico of the University of Padua
VL - 72
SP - 231
EP - 247
LA - eng
KW - embeddings; strong amalgams; free product; torsion-free nilpotent groups; amalgamation base
UR - http://eudml.org/doc/107954
ER -

References

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  1. [1] R.B.J.T. Allenby, On amalgams of nitpotent groups, J. London Math. Soc., 43 (1968), pp. 707-713. Zbl0164.02003MR228591
  2. [2] P.D. Bacsich, The strong amalgamation property, Coll. Math., 33 (1975), pp. 12-23. Zbl0331.02033MR396248
  3. [3] G. Baumslag, Lecture notes on nilpotent groups, AMS, Providence (1971). Zbl0241.20001MR283082
  4. [4] G. Higman, Amalgams of p-groups, J. Algebra, 1 (1964), pp. 301-305. Zbl0246.20015MR167527
  5. [5] A.G. Kurosch, Gruppentheorie I/II, 2. Aufl., Akademie-Verlag, Berlin (1970/ 72). MR266978
  6. [6] B.J. Maier: Einbettung von nilpotenten Gruppen zur Erzeugung von Kommutatorrelationen, Comm. Algebra, 10 (20) (1982), pp. 2141-2190. Zbl0492.20020MR676176
  7. [7] B.J. Maier, Existentially closed torsion-free nilpotent groups of class three, J. Symb. Logic, 49 (1984), 220-230. Zbl0581.03027MR736616
  8. [8] B.J. Maier, Amalgame nilpotenter Gruppen der Klasse zwei, Publ. Math. Debrecen, 31 (1984) pp. 57-70. Zbl0543.20023MR751923
  9. [9] A. Robinson, Introduction to model theory and the metamacthematics of algebra, North-Holland, Amsterdam (1963). Zbl0118.25302MR153570
  10. [10] D. Saracino, Amalgamation bases for nil-2 groups, Alg. Univ., 16 (1983), pp. 47-62. Zbl0517.20016MR690830
  11. [11] R.B. WarfiedJr., Nilpotent groups, Springer, Berlin (1976). Zbl0347.20018MR409661
  12. [12] J. Wiegold, Nitpotent products of groups with amalgamations, Publ. Math. Debrecen, 6 (1959), pp. 131-168. Zbl0084.02802MR104725

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