On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent
Toffalori, Carlo
Rendiconti del Seminario Matematico della Università di Padova, Tome 104 (2000), p. 113-131 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 2000-01-01
@article{RSMUP_2000__103__113_0,
     author = {Toffalori, Carlo},
     title = {On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {104},
     year = {2000},
     pages = {113-131},
     mrnumber = {1789534},
     zbl = {0974.03033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2000__103__113_0}
}

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, Tome 104 (2000) pp. 113-131. http://gdmltest.u-ga.fr/item/RSMUP_2000__103__113_0/

[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. | MR 674671 | Zbl 0499.03016

[H] W. Hodges, Model Theory, Cambridge University Press, Cambridge, 1993. | MR 1221741 | Zbl 0789.03031

[MaT] A. Marcja - C. Toffalori, On the elementarity of some classes of abelian-by-infinite groups, Studia Logica, 62 (1999), pp. 201-213. | MR 1695999 | Zbl 1018.03035

[Me] A. Mekler, Stability of nilpotent groups of class 2 and prime exponent, J. Symbolic Logic, 46 (1981), pp. 781-788. | MR 641491 | Zbl 0482.03014

[O1] F. Oger, Equivalence élémentaire entre groupes finis-par-abéliens de type fini, Comment. Math. Helv., 57 (1982), pp. 469-480. | MR 689074 | Zbl 0515.20019

[O2] F. Oger, Axiomatization of the class of abelian-by-G groups for a finite group G, preprint.

[R] J. Rotman, An Introduction to the Theory of Groups, Springer, New York, 1995. | MR 1307623 | Zbl 0810.20001

[T] C. Toffalori, An elementary class extending abelian-by-G groups, for G infinite, Rend. Mat. Acc. Lincei (9) 7 (1996), pp. 213-217. | MR 1454415 | Zbl 0871.03025