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@article{IM2_2021_85_4_a7, author = {E. I. Timoshenko}, title = {A~basis for a~partially commutative metabelian group}, journal = {Izvestiya. Mathematics }, pages = {813--822}, publisher = {mathdoc}, volume = {85}, number = {4}, year = {2021}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_4_a7/} }
E. I. Timoshenko. A~basis for a~partially commutative metabelian group. Izvestiya. Mathematics , Tome 85 (2021) no. 4, pp. 813-822. http://geodesic.mathdoc.fr/item/IM2_2021_85_4_a7/
[1] A. J. Duncan, V. N. Remeslennikov, A. V. Treier, “A survey of free partially commutative groups”, XIII international scientific and technical conference “Applied mechanics and systems dynamics” (Omsk, 2019), J. Phys. Conf. Ser., 1441, 2020, 012136, 11 pp. | DOI
[2] E. I. Timoshenko, Endomorfizmy i universalnye teorii razreshimykh grupp, Novosibirskii gos. tekh. un-t, Novosibirsk, 2011, 327 pp.
[3] E. I. Timoshenko, “A Mal'tsev basis for a partially commutative nilpotent metabelian group”, Algebra and Logic, 50:5 (2011), 439–446 | DOI | MR | Zbl
[4] E. S. Esyp, I. V. Kazatchkov, V. N. Remeslennikov, “Divisibility theory and complexity of algorithms for free partially commutative groups”, Groups, languages, algorithms, Contemp. Math., 378, Amer. Math. Soc., Providence, RI, 2005, 319–348 | DOI | MR | Zbl
[5] A. A. Mischenko, A. V. Treier, “Grafy kommutativnosti dlya chastichno kommutativnykh dvustupenno nilpotentnykh $\mathbb Q$-grupp”, Sib. elektron. matem. izv., 4 (2007), 460–481 | MR | Zbl
[6] Ch. K. Gupta, E. I. Timoshenko, “Properties and universal theories for partially commutative nilpotent metabelian groups”, Algebra and Logic, 51:4 (2012), 285–305 | DOI | MR | Zbl
[7] Ch. K. Gupta, E. I. Timoshenko, “Universal theories for partially commutative metabelian groups”, Algebra and Logic, 50:1 (2011), 1–16 | DOI | MR | Zbl
[8] E. N. Poroshenko, E. I. Timoshenko, “Universal equivalence of partially commutative metabelian Lie algebras”, J. Algebra, 384 (2013), 143–168 | DOI | MR | Zbl
[9] E. N. Poroshenko, “Bases for partially commutative Lie algebras”, Algebra and Logic, 50:5 (2011), 405–417 | DOI | MR | Zbl
[10] G. Duchamp, D. Krob, “The free partially commutative Lie algebra: bases and ranks”, Adv. Math., 95:1 (1992), 92–126 | DOI | MR | Zbl
[11] D. J. S. Robinson, A course in the theory of groups, Grad. Texts in Math., 80, Springer-Verlag, New York–Berlin, 1982, xvii+481 pp. | MR | Zbl
[12] Ch. K. Gupta, E. I. Timoshenko, “Partially commutative metabelian groups: centralizers and elementary equivalence”, Algebra and Logic, 48:3 (2009), 173–192 | DOI | MR | Zbl
[13] M. I. Kargapolov, Ju. I. Merzljakov, Fundamentals of the theory of groups, Grad. Texts in Math., 62, Springer-Verlag, New York–Berlin, 1979, xvii+203 pp. | MR | MR | Zbl | Zbl
[14] V. A. Romankov, “Diofantova kriptografiya na beskonechnykh gruppakh”, PDM, 2012, no. 2(16), 15–42 | Zbl