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Existentially complete nilpotent groups. (English) Zbl 0347.02034


MSC:

03C60 Model-theoretic algebra
20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
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References:

[1] Eklof, P.; Sabbagh, G., Model-completions and modules, Ann. Math. Logic, 2, 251-295 (1970) · Zbl 0227.02029 · doi:10.1016/0003-4843(71)90016-7
[2] Hall, P., On the finiteness of certain soluble groups, Proc. London Math. Soc., 9, 3, 595-622 (1959) · Zbl 0091.02501 · doi:10.1112/plms/s3-9.4.595
[3] Macintyre, A., On algebraically closed groups, Ann. of Math., 96, 2, 53-97 (1972) · Zbl 0254.20021 · doi:10.2307/1970894
[4] Macintyre, A.; Saracino, D., On existentially complete nilpotent Lie algebras, Notices Amer. Math. Soc., 21, No. 3, A-379 (1974)
[5] Robinson, A., Forcing in model theory, 69-82 (1971), London: Academic Press, London · Zbl 0212.01802
[6] Robinson, A., Infinite forcing in model theory (1971), Amsterdam: North-Holland, Amsterdam · Zbl 0212.01802
[7] Saracino, D., Wreath products and existentially complete solvable groups, Trans. Amer. Math. Soc., 197, 327-339 (1974) · Zbl 0311.02065 · doi:10.2307/1996940
[8] Saracino, D., On existentially complete nilpotent groups, Notices Amer. Math. Soc., 21, No. 3, A-379 (1974)
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