Osin, D. A topological zero-one law and elementary equivalence of finitely generated groups. (English) Zbl 1498.03085 Ann. Pure Appl. Logic 172, No. 3, Article ID 102915, 37 p. (2021). MSC: 03C60 20F65 20F67 20F05 03E15 03C75 PDFBibTeX XMLCite \textit{D. Osin}, Ann. Pure Appl. Logic 172, No. 3, Article ID 102915, 37 p. (2021; Zbl 1498.03085) Full Text: DOI arXiv
Abbott, Carolyn; Hume, David; Osin, Denis Extending group actions on metric spaces. (English) Zbl 1485.20107 J. Topol. Anal. 12, No. 3, 625-665 (2020). MSC: 20F67 20F65 PDFBibTeX XMLCite \textit{C. Abbott} et al., J. Topol. Anal. 12, No. 3, 625--665 (2020; Zbl 1485.20107) Full Text: DOI arXiv
Gerasimova, M.; Osin, D. On invertible elements in reduced \(C^\ast\)-algebras of acylindrically hyperbolic groups. (English) Zbl 1469.20041 J. Funct. Anal. 279, No. 7, Article ID 108689, 21 p. (2020). MSC: 20F67 20F65 46L05 PDFBibTeX XMLCite \textit{M. Gerasimova} and \textit{D. Osin}, J. Funct. Anal. 279, No. 7, Article ID 108689, 21 p. (2020; Zbl 1469.20041) Full Text: DOI arXiv
Abbott, Carolyn; Balasubramanya, Sahana H.; Osin, Denis Hyperbolic structures on groups. (English) Zbl 1481.20165 Algebr. Geom. Topol. 19, No. 4, 1747-1835 (2019). MSC: 20F67 20F65 20E08 57M07 PDFBibTeX XMLCite \textit{C. Abbott} et al., Algebr. Geom. Topol. 19, No. 4, 1747--1835 (2019; Zbl 1481.20165) Full Text: DOI arXiv
Minasyan, Ashot; Osin, Denis Acylindrically hyperbolic groups with exotic properties. (English) Zbl 1439.20054 J. Algebra 522, 218-235 (2019). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 20F67 20F65 54H25 PDFBibTeX XMLCite \textit{A. Minasyan} and \textit{D. Osin}, J. Algebra 522, 218--235 (2019; Zbl 1439.20054) Full Text: DOI arXiv Link
Coulon, Rémi; Osin, Denis A non-residually finite group acting uniformly properly on a hyperbolic space. (English. French summary) Zbl 1502.20030 J. Éc. Polytech., Math. 6, 19-30 (2019). MSC: 20F65 20F67 20E26 20F06 57M07 PDFBibTeX XMLCite \textit{R. Coulon} and \textit{D. Osin}, J. Éc. Polytech., Math. 6, 19--30 (2019; Zbl 1502.20030) Full Text: arXiv
Osin, D. Invariant random subgroups of groups acting on hyperbolic spaces. (English) Zbl 1431.20031 Proc. Am. Math. Soc. 145, No. 8, 3279-3288 (2017). MSC: 20F65 20F10 PDFBibTeX XMLCite \textit{D. Osin}, Proc. Am. Math. Soc. 145, No. 8, 3279--3288 (2017; Zbl 1431.20031) Full Text: DOI arXiv
Dahmani, F.; Guirardel, V.; Osin, D. Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces. (English) Zbl 1396.20041 Mem. Am. Math. Soc. 1156, vi, 149 p. (2016). MSC: 20F65 20F67 20F06 20E08 57M27 57M07 PDFBibTeX XMLCite \textit{F. Dahmani} et al., Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1396.20041) Full Text: DOI arXiv
Hull, Michael; Osin, Denis Transitivity degrees of countable groups and acylindrical hyperbolicity. (English) Zbl 1398.20057 Isr. J. Math. 216, No. 1, 307-353 (2016). MSC: 20F67 20F65 20B22 PDFBibTeX XMLCite \textit{M. Hull} and \textit{D. Osin}, Isr. J. Math. 216, No. 1, 307--353 (2016; Zbl 1398.20057) Full Text: DOI arXiv
Osin, D. Acylindrically hyperbolic groups. (English) Zbl 1380.20048 Trans. Am. Math. Soc. 368, No. 2, 851-888 (2016). Reviewer: Loreno Heer (Zürich) MSC: 20F67 20F65 20F05 05C25 57M07 PDFBibTeX XMLCite \textit{D. Osin}, Trans. Am. Math. Soc. 368, No. 2, 851--888 (2016; Zbl 1380.20048) Full Text: DOI arXiv
Osin, D. On acylindrical hyperbolicity of groups with positive first \(\ell^2\)-Betti number. (English) Zbl 1345.20059 Bull. Lond. Math. Soc. 47, No. 5, 725-730 (2015). MSC: 20F67 20F65 20F05 20E26 PDFBibTeX XMLCite \textit{D. Osin}, Bull. Lond. Math. Soc. 47, No. 5, 725--730 (2015; Zbl 1345.20059) Full Text: DOI arXiv
Minasyan, Ashot; Osin, Denis Acylindrical hyperbolicity of groups acting on trees. (English) Zbl 1360.20038 Math. Ann. 362, No. 3-4, 1055-1105 (2015); correction ibid. 373, No. 1-2, 895-900 (2019). MSC: 20F67 20F65 20E08 20E06 57M05 PDFBibTeX XMLCite \textit{A. Minasyan} and \textit{D. Osin}, Math. Ann. 362, No. 3--4, 1055--1105 (2015; Zbl 1360.20038) Full Text: DOI arXiv Link
Olshanskii, Alexander Yu.; Osin, Denis V. \(C^*\)-simple groups without free subgroups. (English) Zbl 1354.22009 Groups Geom. Dyn. 8, No. 3, 933-983 (2014). MSC: 22D25 20F06 20F50 20F67 46L05 PDFBibTeX XMLCite \textit{A. Yu. Olshanskii} and \textit{D. V. Osin}, Groups Geom. Dyn. 8, No. 3, 933--983 (2014; Zbl 1354.22009) Full Text: DOI arXiv
Klyachko, Anton A.; Olshanskii, Alexander Yu.; Osin, Denis V. On topologizable and non-topologizable groups. (English) Zbl 1285.22003 Topology Appl. 160, No. 16, 2104-2120 (2013). Reviewer: Ljubiša D. Kočinac (Niš) MSC: 22A05 20B22 20F05 20F65 20F67 PDFBibTeX XMLCite \textit{A. A. Klyachko} et al., Topology Appl. 160, No. 16, 2104--2120 (2013; Zbl 1285.22003) Full Text: DOI arXiv
Hull, Michael; Osin, Denis Induced quasicocycles on groups with hyperbolically embedded subgroups. (English) Zbl 1297.20045 Algebr. Geom. Topol. 13, No. 5, 2635-2665 (2013). MSC: 20F67 20F65 20C07 20J06 43A15 57M07 PDFBibTeX XMLCite \textit{M. Hull} and \textit{D. Osin}, Algebr. Geom. Topol. 13, No. 5, 2635--2665 (2013; Zbl 1297.20045) Full Text: DOI arXiv
Minasyan, A.; Osin, D. Normal automorphisms of relatively hyperbolic groups. (English) Zbl 1227.20041 Trans. Am. Math. Soc. 362, No. 11, 6079-6103 (2010). Reviewer: Natalia Yu. Makarenko (Mulhouse) MSC: 20F67 20E36 20F28 20E26 57M07 20F65 PDFBibTeX XMLCite \textit{A. Minasyan} and \textit{D. Osin}, Trans. Am. Math. Soc. 362, No. 11, 6079--6103 (2010; Zbl 1227.20041) Full Text: DOI arXiv Backlinks: MO
Osin, Denis Small cancellations over relatively hyperbolic groups and embedding theorems. (English) Zbl 1203.20031 Ann. Math. (2) 172, No. 1, 1-39 (2010). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 20F05 20E07 20F67 20E45 20F06 20F65 20F70 PDFBibTeX XMLCite \textit{D. Osin}, Ann. Math. (2) 172, No. 1, 1--39 (2010; Zbl 1203.20031) Full Text: DOI arXiv Backlinks: MO
Arzhantseva, G.; Minasyan, A.; Osin, D. The SQ-universality and residual properties of relatively hyperbolic groups. (English) Zbl 1132.20022 J. Algebra 315, No. 1, 165-177 (2007). Reviewer: P. D. Andreev (Arkhangelsk) MSC: 20F67 20E26 20E07 PDFBibTeX XMLCite \textit{G. Arzhantseva} et al., J. Algebra 315, No. 1, 165--177 (2007; Zbl 1132.20022) Full Text: DOI arXiv Link