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Sbornik: Mathematics, 1995, Volume 186, Issue 8, Pages 1199–1211
DOI: https://doi.org/10.1070/SM1995v186n08ABEH000063
(Mi sm63)
 

This article is cited in 40 scientific papers (total in 40 papers)

The SQ-universality of hyperbolic groups

A. Yu. Ol'shanskii

M. V. Lomonosov Moscow State University
References:
Abstract: The main result is that any hyperbolic group that is almost cyclic is SQ-universal.
Received: 16.02.1995
Bibliographic databases:
UDC: 512.543
MSC: Primary 20F06, 20F32; Secondary 20F05, 57M07
Language: English
Original paper language: Russian
Citation: A. Yu. Ol'shanskii, “The SQ-universality of hyperbolic groups”, Sb. Math., 186:8 (1995), 1199–1211
Citation in format AMSBIB
\Bibitem{Ols95}
\by A.~Yu.~Ol'shanskii
\paper The SQ-universality of hyperbolic groups
\jour Sb. Math.
\yr 1995
\vol 186
\issue 8
\pages 1199--1211
\mathnet{http://mi.mathnet.ru/eng/sm63}
\crossref{https://doi.org/10.1070/SM1995v186n08ABEH000063}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1357360}
\zmath{https://zbmath.org/?q=an:0864.20023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TX11200015}
Linking options:
  • https://www.mathnet.ru/eng/sm63
  • https://doi.org/10.1070/SM1995v186n08ABEH000063
  • https://www.mathnet.ru/eng/sm/v186/i8/p119
  • This publication is cited in the following 40 articles:
    1. Lorenzo Ruffoni, “Manifolds without real projective or flat conformal structures”, Proc. Amer. Math. Soc., 2023  crossref
    2. Esamaldeen Mohamed, Gerald Williams, “An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators”, Experimental Mathematics, 31:2 (2022), 537  crossref
    3. Shaun Isherwood, Gerald Williams, “On the Tits alternative for cyclically presented groups with length-four positive relators”, Journal of Group Theory, 2022  crossref
    4. Dawid Kielak, Robert Kropholler, Gareth Wilkes, “ℓ22‐Betti numbers and coherence of random groups”, Journal of London Math Soc, 106:1 (2022), 425  crossref
    5. Stéphane Lamy, Anne Lonjou, “Introduction to a small cancellation theorem”, Confluentes Mathematici, 13:1 (2021), 79  crossref
    6. Lev Glebsky, Nevarez Nieto Saul, “Almost congruence extension property for subgroups of free groups”, Journal of Group Theory, 21:1 (2018), 125  crossref
    7. Jack O. Button, “Acylindrical hyperbolicity, non-simplicity and SQ-universality of groups splitting over ℤ”, Journal of Group Theory, 20:2 (2017), 371  crossref
    8. V. G. Durnev, O. V. Zetkina, A. I. Zetkina, “Ob amenabelnykh podgruppakh F-grupp”, Chebyshevskii sb., 17:2 (2016), 128–136  mathnet  elib
    9. Olshanskii A.Yu., “Embedding construction based on amalgamations of group relators”, J. Topol. Anal., 8:1 (2016), 1–24  crossref  mathscinet  zmath  isi  scopus
    10. Dominik Gruber, “Infinitely presentedC(6)-groups are SQ-universal”, J. London Math. Soc, 92:1 (2015), 178  crossref  mathscinet  zmath
    11. Serge Cantat, Stéphane Lamy, Yves Cornulier, “Normal subgroups in the Cremona group”, Acta Math, 210:1 (2013), 31  crossref  mathscinet  zmath
    12. James Howie, Gerald Williams, “Tadpole Labelled Oriented Graph groups and cyclically presented groups”, Journal of Algebra, 371 (2012), 521  crossref  mathscinet  zmath
    13. V. S. Atabekyan, “On normal subgroups in the periodic products of S. I. Adian”, Proc. Steklov Inst. Math., 274 (2011), 9–24  mathnet  crossref  mathscinet  isi  elib  elib
    14. Vladimir Chaynikov, “On the generators of the kernels of hyperbolic group presentations”, Algebra Discrete Math., 11:2 (2011), 18–50  mathnet  mathscinet  zmath
    15. Atabekyan V.S., “On Cep-Subgroups of N-Periodic Products”, J. Contemp. Math. Anal.-Armen. Aca., 46:5 (2011), 237–242  crossref  mathscinet  zmath  isi
    16. Martin Edjvet, Alina Vdovina, “On the SQ-universality of groups with special presentations”, Journal of Group Theory, 13:6 (2010), 923  crossref  mathscinet  zmath
    17. Januszkiewicz T., Kropholler P.H., Leary I.J., “Groups Possessing Extensive Hierarchical Decompositions”, Bull. London Math. Soc., 42:Part 5 (2010), 896–904  crossref  mathscinet  zmath  isi
    18. Caprace P.-E., Remy B., “Simplicity and Superrigidity of Twin Building Lattices”, Invent. Math., 176:1 (2009), 169–221  crossref  mathscinet  zmath  adsnasa  isi  elib
    19. J. O. Button, “Large groups of deficiency 1”, Isr J Math, 167:1 (2008), 111  crossref  mathscinet  zmath  isi
    20. N. Brodskiy, D. Sonkin, “Compression of uniform embeddings into Hilbert space”, Topology and its Applications, 155:7 (2008), 725  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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