V. A. Roman'kov, “Equations in free metabelian groups”, Sibirsk. Mat. Zh., 20:3 (1979), 671–673; Siberian Math. J., 20:3 (1979), 469

Citation in format AMSBIB

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\by V.~A.~Roman'kov

\paper Equations in free metabelian groups

\jour Sibirsk. Mat. Zh.

\yr 1979

\vol 20

\issue 3

\pages 671--673

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\zmath{https://zbmath.org/?q=an:0419.20030}

\transl

\jour Siberian Math. J.

\yr 1979

\vol 20

\issue 3

\pages 469--471

\crossref{https://doi.org/10.1007/BF00969959}

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This publication is cited in the following 25 articles:

Vitaly Roman'kov, “On decidability of the product of subgroups membership problem for nilpotent groups”, Journal of Group Theory, 2024
V. A. Roman'kov, “Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups”, Math. Notes, 114:5 (2023), 914–919
Paweł Idziak, Piotr Kawałek, Jacek Krzaczkowski, Armin Weiß, “Equation Satisfiability in Solvable Groups”, Theory Comput Syst, 2022
E. I. Timoshenko, “Retracts and verbally closed subgroups with respect to relatively free soluble groups”, Siberian Math. J., 62:3 (2021), 537–544
V. A. Roman'kov, “Solvability of Independent Systems of Equations in Finitely Generated Nilpotent Groups”, Math. Notes, 110:4 (2021), 560–564
V. A. Roman'kov, “Algorithmic theory of solvable groups”, PDM, 2021, no. 52, 16–64
Igor Lysenok, Alexander Ushakov, “Orientable quadratic equations in free metabelian groups”, J. Algebra, 581 (2021), 303–326
Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov, “Diophantine problems in solvable groups”, Bull. Math. Sci., 10:01 (2020), 2050005
E. I. Timoshenko, “Theories of relatively free solvable groups with extra predicate”, Algebra and Logic, 57:4 (2018), 295–308
E. I. Timoshenko, “Universal theory of a free polynilpotent group”, Izv. Math., 80:3 (2016), 623–632
Vitaly A. Roman'kov, “Diophantine questions in the class of finitely generated nilpotent groups”, Journal of Group Theory, 19:3 (2016), 497
V. G. Durnev, O. V. Zetkina, “Nekotorye rezultaty, poluchennye v Yaroslavskom otdelenii algebraicheskoi shkoly M. D. Grindlingera”, Chebyshevskii sb., 15:4 (2014), 5–31
V. A. Romankov, “Diofantova kriptografiya na beskonechnykh gruppakh”, PDM, 2012, no. 2(16), 15–42
S. Yu. Erofeev, V. A. Romankov, “O postroenii vozmozhno odnostoronnikh funktsii na osnove algoritmicheskoi nerazreshimosti problemy endomorfnoi svodimosti v gruppakh”, PDM, 2012, no. 3(17), 13–24
S. Yu. Erofeev, V. A. Romankov, “Postroenie odnostoronnikh funktsii na osnove nerazreshimosti problemy endomorfnoi svodimosti v gruppakh”, PDM, 2011, prilozhenie k № 4, 32–33
A. G. Myasnikov, N. S. Romanovskii, “Universal theories for rigid soluble groups”, Algebra and Logic, 50:6 (2012), 539–552
Dima Grigoriev, Vladimir Shpilrain, “Authentication schemes from actions on graphs, groups, or rings”, Annals of Pure and Applied Logic, 162:3 (2010), 194
E. Yu. Daniyarova, I. V. Kazatchkov, V. N. Remeslennikov, “Algebraic geometry over free metabelian Lie algebras. II. Finite-field case”, J. Math. Sci., 135:5 (2006), 3311–3326
V. Yu. Popov, “O pozitivnykh teoriyakh mnogoobrazii i psevdomnogoobrazii polugrupp”, Fundament. i prikl. matem., 8:2 (2002), 631–635
Bella V. Rozenblat, “Elementary theories of completely simple semigroups”, Isr. J. Math., 128:1 (2002), 355