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On groups with linear sci growth

Tom 228 / 2015

Louis Funar, Martha Giannoudovardi, Daniele Ettore Otera Fundamenta Mathematicae 228 (2015), 47-62 MSC: 20F65, 20F67, 20F69, 22E40, 57M50. DOI: 10.4064/fm228-1-4

Streszczenie

We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over finitely generated one-ended groups. Eventually one proves that most non-uniform lattices have linear sci.

Autorzy

  • Louis FunarInstitut Fourier
    BP 74, UMR 5582, UniversitéGrenoble I
    38402 Saint-Martin-d'Hères Cedex, France
    e-mail
  • Martha GiannoudovardiDepartment of Mathematics
    University of Athens
    157 84 Athens, Greece
    e-mail
    e-mail
  • Daniele Ettore OteraInstitute of Mathematics and Informatics
    Vilnius University
    Akademijos st. 4
    LT-08663, Vilnius, Lithuania
    e-mail
    e-mail

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