177
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

On the residual properties of Baumslag–Solitar groups

Pages 3766-3778 | Received 26 May 2017, Published online: 16 Feb 2018

References

  • Azarov, D. N. (2013). On the virtual residuality of Baumslag–Solitar groups by finite p-groups. Modelirovanie i Analyz Informatsionnykh Sistem 20:116–123 (Russian).
  • Baumslag, G., Solitar, D. (1962). Some two-generator one-relator non-Hopfian groups. Bull. Am. Math. Soc. 68:199–201.
  • Dyer, J. (1980). Separating conjugates in amalgamating free products and HNN-extensions. J. Austral. Math. Soc. 29:35–51.
  • Gruenberg, K. W. (1957). Residual properties of infinite soluble groups. Proc. London Math. Soc. 7:29–62.
  • Ivanova, O. A., Moldavanskii, D. I. (2008). Residuality by a finite π-groups of some one-relator groups. Sci. Proc. Ivanovo State Univ. Math. 6:51–58 (Russian).
  • Ivanova, E. A. (2011). On the conjugacy separability of solvable Baumslag–Solitar groups. Vestnik Ivanovo State Univ. Ser. Natural, Social Sci. (2):129–136. See also [19, 267–275] (Russian).
  • Kargapolov, M. I. (1967). Conjugacy separability of supersolvable groups. Algebra Logic 6:63–68 (Russian).
  • Meskin, S. (1972). Nonresidually finite one-relator groups. Trans. Am. Math. Soc. 164:105–114.
  • Moldavanskii, D. I. (1991). The isomorphism of Baumslag–Solitar groups. Ukrainian Math. J. 43:1684–1686 (Russian).
  • Moldavanskii, D. I. (2000). Residuality by a finite p-groups of HNN-extensions. Vestnik Ivanovo State Univ. (3):129–140. See also [19, pp. 9–22] (Russian).
  • Moldavanskii, D. I. (2010). The intersection of the subgroups of finite index in Baumslag–Solitar groups. Math. Notes 87(1):79–86.
  • Moldavanskii, D. I. (2010). The intersection of the subgroups of finite p-index in Baumslag–Solitar groups. Vestnik Ivanovo State Univ. Ser. Natural, Social Sci. (2):106–111. See also [19, pp. 106–111] (Russian).
  • Moldavanskii, D. I. (2012). On the residuality of Baumslag–Solitar groups. Chebyshevskii Sb. Publisher Tula State Pedagogical Univ. 13(1):110–114 (Russian).
  • Moldavanskii, D. I. (2013). On some residual properties of Baumslag–Solitar groups. Preprint. http://arxiv.org/abs/1310.3585.
  • Moldavanskii, D. I., Kravchenko, L. V., Frolova, E. N. (1986). Conjugacy separability of some one-relator groups. In Greendlinger, M., eds., Algorithmic Problems in Group and Semigroup Theory. Tula, Russian federation: Tula Pedagogical Institute, pp. 81–91.
  • Moldavanskii, D. I., Timofeeva, L. V. (1987). Finitely generated subgroups of one-relator group with non-trivial center are finitely separable. Izvestiya Vuzov. Math. (12):58–59 (Russian).
  • Moldavanskii, D. I., Uskova, A. A. (2013). On the finitely separability of subgroups of generalized free products. Chebyshevskii Sb. Publisher Tula State Pedagogical Univ. 14(3):92–98 (Russian).
  • Neumann, B. H. (1954). An assay on free products of groups with amalgamations. Phil. Trans. Royal Soc. London 246:503–554.
  • Moldavanskii, D., Yatskin, N., Residual Properties of Groups. (2012). Notes of Seminar on Combinatorial Group Theory. Saarbrëucken, Germany: LAP Lambert Academic Publishing. ISBN: 978-3-8484-4125-9.
  • Senkevich, O. E. (2006). Conjugacy separability of some HNN-extensions of groups. Vestnik Ivanovo State Univ. (3):133–146. See also [19, pp. 117–133] (Russian).
  • Sokolov, E. V. (2005). Conjugacy separability of descending HNN-extensions of finitely generated Abelian groups. Math. Notes 78:696–708.
  • Tumanova, E. A. (2014). On the residuality by root classes of HNN-extensions of groups. Modelirovanie i Analyz Informatsionnykh Sistem 21(4):148–180.
  • Varlamova, I. A., Moldavanskii, D. I. (2012). On the residual finiteness of Baumslag–Solitar groups. Vestnik Ivanovo State Univ. Ser. Natural, Social Sci. (2):107–114 (Russian).
  • Wong, P. C., Tang, C. K. (1998). Conjugacy separability of certain HNN extensions. Algebra Colloq. 5(1):25–31.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.