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Logical aspects of the theory of divisible rigid groups. (English. Russian original) Zbl 1319.20032
Dokl. Math. 90, No. 3, 697-698 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 2, 154-155 (2014).
Announcement of results.

MSC:
20F16 Solvable groups, supersolvable groups
20F14 Derived series, central series, and generalizations for groups
03C60 Model-theoretic algebra
20A15 Applications of logic to group theory
20F10 Word problems, other decision problems, connections with logic and automata (group-theoretic aspects)
20E07 Subgroup theorems; subgroup growth
20E22 Extensions, wreath products, and other compositions of groups
14A22 Noncommutative algebraic geometry
20F70 Algebraic geometry over groups; equations over groups
20C07 Group rings of infinite groups and their modules (group-theoretic aspects)
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References:
[1] Myasnikov, A; Romanovskiy, N, No article title, J. Algebra, 324, 2814-2831, (2010) · Zbl 1234.20052
[2] Romanovskii, N S, No article title, Algebra Logic, 47, 426-434, (2008) · Zbl 1245.20035
[3] Romanovskii, N S, No article title, Algebra Logic, 48, 147-160, (2009) · Zbl 1245.20036
[4] Myasnikov, A G; Romanovskii, N S, No article title, Algebra Logic, 50, 539-552, (2011) · Zbl 1263.20034
[5] Gupta, Ch K; Romanovskii, N S, No article title, Algebra Logic, 46, 28-36, (2007) · Zbl 1156.20032
[6] Romanovskii, N S, No article title, Algebra Logic, 48, 449-464, (2009) · Zbl 1245.20054
[7] Romanovskii, N S, No article title, Algebra Logic, 49, 539-550, (2010) · Zbl 1236.20039
[8] Mal’tsev, A I, No article title, Dokl. Akad. Nauk SSSR, 130, 495-498, (1960)
[9] Romanovskii, N S, No article title, Algebra Logic, 51, 259-263, (2012) · Zbl 1267.20052
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