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Subgroups of direct products of graphs of groups with free abelian vertex groups, (with J. Lopez de Gamiz Zearra), 25 pages,
submitted, arXiv:2010.10414
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On the elementary theory of graph products of groups, (with J. De la Nuez González, I. Kazachkov), 80 pages,
submitted, arXiv:2106.03782
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On finitely generated normal subgroups of right-angled Artin groups and graph products of groups, (with J. Lopez de Gamiz Zearra),
to appear in Proceedings of the AMS, arXiv:2206.12182
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Limit groups over coherent right-angled Artin groups, (with A. Duncan, I. Kazachkov), Publ. Mat. 67(1): 199-257 (2023) DOI: 10.5565/PUBLMAT6712305, arXiv:2009.01899
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Simple groups with infinite verbal width and the same positive theory as free groups, (with A. Garreta, I. Kazachkov, J. dela Nuez),
Isr. J. Math. 254, 39–56 (2023). https://doi.org/10.1007/s11856-022-2384-5, arXiv:1911.02117
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On the positive theory of groups acting on trees, (with A. Garreta, J. De la Nuez González), Int Math Res Notices 2021 (3), 1837-1918, doi:10.1093/imrn/rnaa164, arXiv:1910.09000
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Commensurability of Baumslag-Solitar groups, (with I. Kazachkov, A. Zakharov),
Indiana Univ. Math. J. 70 (2021), 2527-2555, doi:10.1512/iumj.2021.70.9496, arXiv:1910.02117
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On commensurability of some right-angled Artin groups II: RAAGs defined by paths, (with I. Kazachkov, A. Zakharov),
Mathematical Proceedings of the Cambridge Mathematical Society, 170, no. 3 (2021): 559–608. doi:10.1017/ S0305004119000537, arXiv:1803.00971
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Commensurability of some right-angled Artin groups, (with I. Kazachkov and A. Zakharov),
Revista Matemática Iberoamericana, v. 35 (2), 2019, 521-560
DOI:10.4171/rmi/1061, arXiv:1611.01741
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Pro-Hall R-groups and groups discriminated by the free pro-p group, (with I. Kazachkov and V. Remeslennikov),
Journal of Group Theory, 19(3) (2016), pp. 391-403,
DOI:10.1515/jgth-2016-0505, arXiv:1803.00478
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On the quasi-isometric classification of partially commutative groups,
Algebraic & Geometric Topology 16 (2016) 597 -620,
DOI: 10.214/agt.2016.16.597, arXiv:1803.00416
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Embeddability and Universal Equivalence of partially commutative groups,
Internat. Math. Research Notices, (2015) 2015 (24): 13575-13622.
DOI: 10.1093/imrn/rnv122, arXiv:1506.03261
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Limit Groups over Partially Commutative Groups and Group Actions on Real Cubings, (with I. Kazachkov),
Geom. Topol., v.19 (2) (2015), pp. 725-852, arXiv:1110.0174
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Embeddings between two partially commutative groups: two counterexamples (with A. Duncan and I. Kazachkov),
J. Algebra, v.390 (2013) pp. 87-99, arXiv:1306.3087
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Two remarks on first-order theories of Baumslag-Solitar groups, (with I. Kazachkov),
Sib. J. Math., v. 53 (5) (2012), pp. 805-809, arXiv:1002.2658
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First-order theories and Tarski problems (in Catalan)
Butlletí de la Societat Catalana de Matemàtiques, v. 28 (1) (2013), pp. 5-49, here
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On systems of equations over free products of groups (with I. Kazachkov),
J. Algebra, v. 333 (2011), pp. 368-426, arXiv:0903.2096
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Elementary equivalence of right-angled Coxeter groups and graph products of finite Abelian groups (with I. Kazachkov and V. Remeslennikov),
Bull. London Math. Soc., v. 42 (1) (2010), pp.130-136, arXiv:0810.4870
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Elements of Algebraic Geometry and the Positive Theory of Partially Commutative Groups (with I. Kazachkov),
Canadian J. Math., v. 62 (3) (2010), pp. 481-519, arXiv:0710.4077
Journal Publications and preprints
PUBLICATIONS
Research Monograph
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On systems of equation over free partially commutative groups (with I. Kazachkov),
Memoirs of the American Mathematical Society, v. 212 (2011), no. 999, viii+153pp
arXiv:0810.4867
Articles in preparations
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Real cubings and asymptotic cones of hierarchically hyperbolic groups (with M. Hagen and I. Kazachkov) preprint, 400 pages
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Linearity of compact R-analytic groups (with A. Zozaya), preprint, 7 pages.
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Some basics on profinite RAAGs: centralisers and abelian splittings (with M. Pintonello and P. Zalesskii) preprint, 27 pages
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Elementary theory of finite dimensional algebras and partially commutative nilpotent groups (with G. Fernández-Alcober, I. Kazachkov, and V. Remeslennikov), 34 pages
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