JournalsggdVol. 13, No. 4pp. 1255–1270

The Basilica Thompson group is not finitely presented

  • Stefan Witzel

    Universität Bielefeld, Germany

  • Matthew C.B. Zaremsky

    University of Albany (SUNY), USA
The Basilica Thompson group is not finitely presented cover

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Abstract

We show that the Basilica Thompson group introduced by Belk and Forrest is not finitely presented, and in fact is not of type FP. The proof involves developing techniques for proving non-simple connectedness of certain subcomplexes of CAT(0) cube complexes.

Cite this article

Stefan Witzel, Matthew C.B. Zaremsky, The Basilica Thompson group is not finitely presented. Groups Geom. Dyn. 13 (2019), no. 4, pp. 1255–1270

DOI 10.4171/GGD/522