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A non-finitely-based variety of center-by-metabelian pointed groups.
- Published in:
- Mathematical Notes, 2014, v. 95, n. 5/6, p. 743, doi. 10.1134/S0001434614050162
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Varieties of Two-Step Solvable Algebras of Type (1, 1).
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- Mathematical Notes, 2004, v. 76, n. 3/4, p. 379, doi. 10.1023/B:MATN.0000043465.59075.88
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- Article
ON THE PRIMITIVE REPRESENTATIONS OF FINITELY GENERATED METABELIAN GROUPS OF FINITE RANK OVER A FIELD OF NON-ZERO CHARACTERISTIC.
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- Carpathian Mathematical Publications / Karpats'kì Matematičnì Publìkacìï, 2014, v. 6, n. 2, p. 389, doi. 10.15330/cmp.6.2.389-393
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On the rank of the 2-class group of the Hilbert 2-class field of some quadratic fields.
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- Quarterly Journal of Mathematics, 2018, v. 69, n. 4, p. 1163, doi. 10.1093/qmath/hay021
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- Article
ON AUTOMORPHISMS OF FREE CENTER-BY-METABELIAN LIE ALGEBRAS.
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- Quarterly Journal of Mathematics, 2015, v. 66, n. 2, p. 625, doi. 10.1093/qmath/hav008
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METABELIAN SL(N, ℂ) REPRESENTATIONS OF KNOT GROUPS, III: DEFORMATIONS.
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- Quarterly Journal of Mathematics, 2014, v. 65, n. 3, p. 817, doi. 10.1093/qmath/hat047
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FREE CENTRE-BY-METABELIAN LIE RINGS.
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- Quarterly Journal of Mathematics, 2014, v. 65, n. 2, p. 555
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ELEMENTS WITH THE SAME NORMAL CLOSURE IN A METABELIAN GROUP.
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- Quarterly Journal of Mathematics, 2007, v. 58, n. 1, p. 23, doi. 10.1093/qmath/hal016
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Lie powers in prime degree.
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- Quarterly Journal of Mathematics, 2005, v. 56, n. 4, p. 473, doi. 10.1093/qmath/hah053
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DEFORMATIONS OF METABELIAN REPRESENTATIONS OF KNOT GROUPS INTO SL(3, C).
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- Journal of Knot Theory & Its Ramifications, 2010, v. 19, n. 3, p. 385, doi. 10.1142/S0218216510007887
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Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation.
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- Mathematische Zeitschrift, 2010, v. 265, n. 4, p. 925, doi. 10.1007/s00209-009-0548-1
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- Article
Commutator Width of Elements in a Free Metabelian Lie Algebra.
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- Algebra & Logic, 2014, v. 53, n. 5, p. 377, doi. 10.1007/s10469-014-9298-1
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Rigid Metabelian Pro- p-Groups.
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- Algebra & Logic, 2014, v. 53, n. 2, p. 102, doi. 10.1007/s10469-014-9274-9
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Absolute Closedness of Torsion-Free Abelian Groups in the Class of Metabelian Groups.
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- Algebra & Logic, 2014, v. 53, n. 1, p. 9, doi. 10.1007/s10469-014-9267-8
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Properties and universal theories for partially commutative nilpotent metabelian groups.
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- Algebra & Logic, 2012, v. 51, n. 4, p. 285, doi. 10.1007/s10469-012-9192-7
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Universal theories for partially commutative metabelian groups.
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- Algebra & Logic, 2011, v. 50, n. 1, p. 1, doi. 10.1007/s10469-011-9120-2
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Universal equivalence of partially commutative metabelian groups.
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- Algebra & Logic, 2010, v. 49, n. 2, p. 177, doi. 10.1007/s10469-010-9088-3
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The twisted conjugacy problem for endomorphisms of metabelian groups.
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- Algebra & Logic, 2009, v. 48, n. 2, p. 89, doi. 10.1007/s10469-009-9048-y
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Algebraic sets in metabelian groups.
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- Algebra & Logic, 2007, v. 46, n. 4, p. 274, doi. 10.1007/s10469-007-0026-y
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Computing test rank for a free solvable group.
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- Algebra & Logic, 2006, v. 45, n. 4, p. 254, doi. 10.1007/s10469-006-0023-6
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Quasivariety Generated by Free Metabelian and 2-Nilpotent Groups.
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- Algebra & Logic, 2005, v. 44, n. 4, p. 213, doi. 10.1007/s10469-005-0022-z
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- Article
Irreducible Algebraic Sets in Metabelian Groups.
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- Algebra & Logic, 2005, v. 44, n. 5, p. 336, doi. 10.1007/s10469-005-0032-x
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- Article
Completion of Linearly Ordered Metabelian Groups.
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- Algebra & Logic, 2003, v. 42, n. 5, p. 304, doi. 10.1023/A:1025919422046
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The Lattice of Quasivarieties of Torsion-Free Metabelian Groups.
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- Algebra & Logic, 2003, v. 42, n. 2, p. 92, doi. 10.1023/A:1023398222909
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- Article
PRIMITIVE DECOMPOSITION OF ELEMENTS OF THE FREE METABELIAN LIE ALGEBRA OF RANK TWO.
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- Serdica Mathematical Journal, 2017, v. 43, n. 3/4, p. 369
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POLYCYCLIC, METABELIAN OR SOLUBLE OF TYPE (FP)∞ GROUPS WITH BOOLEAN ALGEBRA OF RATIONAL SETS AND BIAUTOMATIC SOLUBLE GROUPS ARE VIRTUALLY ABELIAN.
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- Glasgow Mathematical Journal, 2018, v. 60, n. 1, p. 209, doi. 10.1017/S0017089516000677
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- Article
ANOTHER LAW FOR 3-METABELIAN GROUPS.
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- Glasgow Mathematical Journal, 2012, v. 54, n. 3, p. 627, doi. 10.1017/S0017089512000201
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NORMAL AUTOMORPHISMS OF A FREE METABELIAN NILPOTENT GROUP.
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- Glasgow Mathematical Journal, 2010, v. 52, n. 1, p. 169, doi. 10.1017/S0017089509990267
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- Article
Tilings and Submonoids of Metabelian Groups.
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- Theory of Computing Systems, 2011, v. 48, n. 2, p. 411, doi. 10.1007/s00224-010-9264-9
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- Article
THE SECOND p-CLASS GROUP OF A NUMBER FIELD.
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- International Journal of Number Theory, 2012, v. 8, n. 2, p. 471, doi. 10.1142/S179304211250025X
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A NOTE ON GROUPS WITH FINITE CONJUGACY CLASSES OF SUBNORMAL SUBGROUPS.
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- Mathematica Slovaca, 2017, v. 67, n. 2, p. 387, doi. 10.1515/ms-2016-0274
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On Splittings, Subgroups, and Theories of Partially Commutative Metabelian Groups.
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- Siberian Mathematical Journal, 2018, v. 59, n. 3, p. 536, doi. 10.1134/S0037446618030151
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Comparison between the universal theories of partially commutative metabelian groups.
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- Siberian Mathematical Journal, 2017, v. 58, n. 3, p. 382, doi. 10.1134/S0037446617030028
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- Article
Universal equivalence of some countably generated partially commutative structures.
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- Siberian Mathematical Journal, 2017, v. 58, n. 2, p. 296, doi. 10.1134/S0037446617020124
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- Article
Ideal growth in metabelian Lie P-algebras.
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- Siberian Mathematical Journal, 2015, v. 56, n. 4, p. 714, doi. 10.1134/S0037446615040138
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On the closedness of a locally cyclic subgroup in a metabelian group.
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- Siberian Mathematical Journal, 2014, v. 55, n. 6, p. 1009, doi. 10.1134/S0037446614060044
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Description of the centralizers of elements in the metabelian products of abelian groups.
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- Siberian Mathematical Journal, 2014, v. 55, n. 1, p. 171, doi. 10.1134/S0037446614010194
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On the second commutants of finite Alperin groups.
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- Siberian Mathematical Journal, 2014, v. 55, n. 1, p. 19, doi. 10.1134/S0037446614010042
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- Article
The commutator width of elements in a wreath product of free abelian groups.
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- Siberian Mathematical Journal, 2013, v. 54, n. 5, p. 926, doi. 10.1134/S0037446613050169
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- Article
Quasivarieties generated by partially commutative groups.
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- Siberian Mathematical Journal, 2013, v. 54, n. 4, p. 722, doi. 10.1134/S0037446613040125
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- Article
Primitive and measure-preserving systems of elements on the varieties of metabelian and metabelian profinite groups.
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- Siberian Mathematical Journal, 2013, v. 54, n. 1, p. 152, doi. 10.1134/S0037446613010199
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- Article
Dominions in quasivarieties of metabelian groups.
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- Siberian Mathematical Journal, 2010, v. 51, n. 3, p. 396, doi. 10.1007/s11202-010-0040-5
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The hypercentral structure of the group of unitriangular automorphisms of a free metabelian Lie algebra.
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- Siberian Mathematical Journal, 2009, v. 50, n. 2, p. 261, doi. 10.1007/s11202-009-0030-7
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- Article
Strictly nontame primitive elements of the free metabelian Lie algebra of rank 3.
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- Siberian Mathematical Journal, 2009, v. 50, n. 1, p. 66, doi. 10.1007/s11202-009-0008-5
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The equation x <sup>2</sup> y <sup>2</sup> = g in partially commutative groups.
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- Siberian Mathematical Journal, 2006, v. 47, n. 2, p. 383, doi. 10.1007/s11202-006-0050-5
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On Solvable Groups of Exponent 4.
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- Siberian Mathematical Journal, 2003, v. 44, n. 1, p. 58, doi. 10.1023/A:1022060219947
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On the Problem of Finite Signature.
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- Siberian Mathematical Journal, 2003, v. 44, n. 1, p. 170, doi. 10.1023/A:1022032908561
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- Article
Varieties of two-step solvable algebras of type ( γ, δ).
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- Journal of Mathematical Sciences, 2006, v. 139, n. 4, p. 6762, doi. 10.1007/s10958-006-0389-y
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Algebraic geometry over free metabelian lie algebras. II. Finite-field case.
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- Journal of Mathematical Sciences, 2006, v. 135, n. 5, p. 3311, doi. 10.1007/s10958-006-0160-4
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Algebraic geometry over free metabelian lie algebras. I. U-algebras and universal classes.
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- Journal of Mathematical Sciences, 2006, v. 135, n. 5, p. 3292, doi. 10.1007/s10958-006-0159-x
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- Article