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On 3-dimensional wgsc inverse-representations of groups

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Abstract

We study the notion of wgsc inverse-representation of finitely presented groups and use the “\({(\Phi,\Psi)}\)-technique” of Poénaru, in order to prove that the universal cover of a closed 3-manifold admitting a wgsc inverse-representation with an extra finiteness condition is simply connected at infinity. Furthermore, we investigate some new relations between wgsc inverse-representations and the qsf property for groups.

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Authors and Affiliations

  1. Mathematics and Informatics Institute, Vilnius University, Akademijos st. 4, LT-08663, Vilnius, Lithuania

    D. E. Otera

  2. Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag X1, 7701, Rondebosch, Cape Town, South Africa

    F. G. Russo

  3. Dipartimento di Matematica e Informatica, Universitá degli Studi di Palermo, via Archirafi n. 34, 90123, Palermo, Italy

    C. Tanasi

Authors
  1. D. E. Otera
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  2. F. G. Russo
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  3. C. Tanasi
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Correspondence to D. E. Otera.

Additional information

Daniele Otera was funded by a grant from the Research Council of Lithuania (Researcher teams’ project No. MIP-046/2014/LSS-580000-446).

F. G. Russo has been supported in part by NRF (South Africa) Grant No. 93652.

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Otera, D.E., Russo, F.G. & Tanasi, C. On 3-dimensional wgsc inverse-representations of groups. Acta Math. Hungar. 151, 379–390 (2017). https://doi.org/10.1007/s10474-017-0698-2

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  • DOI: https://doi.org/10.1007/s10474-017-0698-2

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