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Communications in Algebra Volume 43, 2015 - Issue 2
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Original Articles

A Characterization of Root Classes of Groups

E. V. Sokolov Department of Mathematics and Computer Sciences, Ivanovo State University, Ivanovo, RussiaCorrespondence[email protected]
Pages 856-860 | Received 05 Aug 2013, Published online: 03 Nov 2014

Citations (20)

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Read on this site (2)

E. V. Sokolov. (2022) Certain residual properties of HNN-extensions with central associated subgroups. Communications in Algebra 50:3, pages 962-987.
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Federico Berlai. (2016) Residual Properties of Free Products. Communications in Algebra 44:7, pages 2959-2980.
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Articles from other publishers (18)

E. V. Sokolov. (2024) On the Separability of Abelian Subgroups of the Fundamental Groups of Graphs of Groups. II. Siberian Mathematical Journal 65:1, pages 174-189.
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E. V. Sokolov. (2024) On Conditions for the Approximability of the Fundamental Groups of Graphs of Groups by Root Classes of Groups. Lobachevskii Journal of Mathematics 44:12, pages 5444-5452.
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E. V. Sokolov & E. A. Tumanova. (2023) The Root-Class Residuality of Some Generalized Free Products and HNN-Extensions. Siberian Mathematical Journal 64:2, pages 393-406.
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Evgeny Victorovich Sokolov. (2023) On the separability of subgroups of nilpotent groups by root classes of groups. Journal of Group Theory 0:0.
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E.V. Sokolov. (2021) Certain residual properties of generalized Baumslag–Solitar groups. Journal of Algebra 582, pages 1-25.
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E. V. Sokolov. (2021) The Root-Class Residuality of the Fundamental Groups of Graphs of Groups. Siberian Mathematical Journal 62:4, pages 719-729.
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E. A. Tumanova. (2021) On the Root-Class Residuality of Certain HNN-Extensions of Groups. Russian Mathematics 64:12, pages 38-45.
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E. V. Sokolov & E. A. Tumanova. (2020) The Root-Class Residuality of Tree Products with Central Amalgamated Subgroups. Siberian Mathematical Journal 61:3, pages 545-551.
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E. V. Sokolov & E. A. Tumanova. (2020) On the Root-Class Residuality of Certain Free Products of Groups with Normal Amalgamated Subgroups. Russian Mathematics 64:3, pages 43-56.
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E. V. Sokolov & E. A. Tumanova. (2020) To the Question of the Root-Class Residuality of Free Constructions of Groups. Lobachevskii Journal of Mathematics 41:2, pages 260-272.
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E. V. Sokolov & E. A. Tumanova. (2020) Generalized Direct Products of Groups and their Application to the Study of Residuality of Free Constructions of Groups. Algebra and Logic 58:6, pages 480-493.
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E. A. Tumanova. (2019) The Root Class Residuality of the Tree Product of Groups with Amalgamated Retracts. Siberian Mathematical Journal 60:4, pages 699-708.
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E. V. Sokolov & E. A. Tumanova. (2017) Root class residuality of HNN-extensions with central cyclic associated subgroups. Mathematical Notes 102:3-4, pages 556-568.
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E. A. Tumanova. (2017) The root class residuality of Baumslag–Solitar groups. Siberian Mathematical Journal 58:3, pages 546-552.
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Π•Π²Π³Π΅Π½ΠΈΠΉ Π’ΠΈΠΊΡ‚ΠΎΡ€ΠΎΠ²ΠΈΡ‡ Π‘ΠΎΠΊΠΎΠ»ΠΎΠ², Evgeny Viktorovich Sokolov, Π•Π»Π΅Π½Π° АлСксандровна Π’ΡƒΠΌΠ°Π½ΠΎΠ²Π° & Elena Aleksandrovna Tumanova. (2017) ΠΠΏΠΏΡ€ΠΎΠΊΡΠΈΠΌΠΈΡ€ΡƒΠ΅ΠΌΠΎΡΡ‚ΡŒ ΠΊΠΎΡ€Π½Π΅Π²Ρ‹ΠΌΠΈ классами HNN-Ρ€Π°ΡΡˆΠΈΡ€Π΅Π½ΠΈΠΉ с Ρ†Π΅Π½Ρ‚Ρ€Π°Π»ΡŒΠ½Ρ‹ΠΌΠΈ цикличСскими связанными ΠΏΠΎΠ΄Π³Ρ€ΡƒΠΏΠΏΠ°ΠΌΠΈRoot Class Residuality of HNN-Extensions with Central Cyclic Associated Subgroups. ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΡ‡Π΅ΡΠΊΠΈΠ΅ Π·Π°ΠΌΠ΅Ρ‚ΠΊΠΈ Matematicheskie Zametki 102:4, pages 597-612.
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E. V. Sokolov. (2017) Separability of the subgroups of residually nilpotent groups in the class of finite Ο€-groups. Siberian Mathematical Journal 58:1, pages 169-175.
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E. V. Sokolov & E. A. Tumanova. (2016) Sufficient conditions for the root-class residuality of certain generalized free products. Siberian Mathematical Journal 57:1, pages 135-144.
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E. A. Tumanova. (2015) On the root-class residuality of generalized free products with a normal amalgamation. Russian Mathematics 59:10, pages 23-37.
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