On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent

Carlo Toffalori

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 103, page 113-131
  • ISSN: 0041-8994

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Toffalori, Carlo. "On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent." Rendiconti del Seminario Matematico della Università di Padova 103 (2000): 113-131. <http://eudml.org/doc/108515>.

@article{Toffalori2000,
author = {Toffalori, Carlo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {abelian normal subgroup; infinite groups; direct sum; elementary abelian -group; elementary group; finite axiomatizability; elementary equivalence},
language = {eng},
pages = {113-131},
publisher = {Seminario Matematico of the University of Padua},
title = {On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent},
url = {http://eudml.org/doc/108515},
volume = {103},
year = {2000},
}

TY - JOUR
AU - Toffalori, Carlo
TI - On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 103
SP - 113
EP - 131
LA - eng
KW - abelian normal subgroup; infinite groups; direct sum; elementary abelian -group; elementary group; finite axiomatizability; elementary equivalence
UR - http://eudml.org/doc/108515
ER -

References

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  1. [B] A. Baudisch, Decidability and stability of free nilpotent Lie algebras and free nilpotent p-groups of finite exponent, Ann. Math. Logic, 23 (1982), pp. 1-25. Zbl0499.03016MR674671
  2. [H] W. Hodges, Model Theory, Cambridge University Press, Cambridge, 1993. Zbl0789.03031MR1221741
  3. [MaT] A. Marcja - C. Toffalori, On the elementarity of some classes of abelian-by-infinite groups, Studia Logica, 62 (1999), pp. 201-213. Zbl1018.03035MR1695999
  4. [Me] A. Mekler, Stability of nilpotent groups of class 2 and prime exponent, J. Symbolic Logic, 46 (1981), pp. 781-788. Zbl0482.03014MR641491
  5. [O1] F. Oger, Equivalence élémentaire entre groupes finis-par-abéliens de type fini, Comment. Math. Helv., 57 (1982), pp. 469-480. Zbl0515.20019MR689074
  6. [O2] F. Oger, Axiomatization of the class of abelian-by-G groups for a finite group G, preprint. 
  7. [R] J. Rotman, An Introduction to the Theory of Groups, Springer, New York, 1995. Zbl0810.20001MR1307623
  8. [T] C. Toffalori, An elementary class extending abelian-by-G groups, for G infinite, Rend. Mat. Acc. Lincei (9) 7 (1996), pp. 213-217. Zbl0871.03025MR1454415

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