Article PDF
Avoid common mistakes on your manuscript.
Literature cited
Yu. L. Ershov, Decidability Problems and Constructive Models [in Russian], Nauka, Moscow (1980).
Yu. M. Gorchakov, Groups with Finite Conjugacy Classes [in Russian], Nauka, Moscow (1978).
A. G. Kurosh, Group Theory [in Russian], Nauka, Moscow (1967).
K. A. Meirembekov, "Spectra of superstable groups," in: Research on Theoretical Programming [in Russian], Alma-Ata (1981), pp. 80–84.
K. A. Meirembekov, "Constructivizations of group extensions," in: Eighth Kazakhstan Conference on Mathematics and Mechanics [in Russian], Alma-Ata (1984), p. 184.
K. A. Meirembekov, "Preservation of stability in finite extensions of groups," in: 18th All-Union Algebra Conference [in Russian], Part 2, Kishinev (1985), p. 23.
Handbook on Mathematical Logic, Part 1. Theory of Models [Russian translation], Mir, Moscow (1982).
F. Baudisch, "There is no module having finite cover property," Preprint, Akad. Wiss. DDR, Berlin (1981), P-Math-20/81.
W. Baur, G. Cherlin, and A. Macintyre, "Totally categorical groups and rings," J. Algebra,57, No. 2, 407–440 (1979).
G. Cherlin and J. Rosenstein, "OnS o -categorical Abelian by finite groups," J. Algebra,53, No. 1, 188–226 (1978).
G. Cherlin, "Groups of small Morley rank," Ann. Math. Log.,17, No. 1, 1–28 (1979).
G. Cherlin and S. Shelah, "Superstable fields and groups," Ann. Math. Log.,18, No. 3, 227–270 (1980).
U. Felgner, "The model theory of FC-groups," in: Mathematical Logic in Latin America, North-Holland, Amsterdam (1980), pp. 163–193.
A. Macintyre, "On wl-categorical theories of Abelian groups," Fund. Math.,70, No. 2, 253–270 (1971).
S. Shelah, Classification Theory and the Number of Nonisomorphic Models, North-Holland, Amsterdam (1978).
J. Wierzejewski, "On stability and products," Fund. Math.,93, No. 2, 81–95 (1976).
Additional information
Translated from Algebra i Logika, Vol. 25, No. 3, pp. 273–291, May–June, 1986.
Rights and permissions
About this article
Cite this article
Meirembekov, K.A. Preservation of stability under finite extension of a group. Algebra and Logic 25, 171–183 (1986). https://doi.org/10.1007/BF01988798
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01988798