The Basilica Thompson group is not finitely presented

Witzel S, Zaremsky MCB (2019)
GROUPS GEOMETRY AND DYNAMICS 13(4): 1255-1270.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Witzel, StefanUniBi; Zaremsky, Matthew C. B.
Abstract / Bemerkung
We show that the Basilica Thompson group introduced by Belk and Forrest is not finitely presented, and in fact is not of type FP2. The proof involves developing techniques for proving non-simple connectedness of certain subcomplexes of CAT(0) cube complexes.
Stichworte
Basilica Julia set; Thompson group; finite presentation; CAT(0) cube; complex
Erscheinungsjahr
2019
Zeitschriftentitel
GROUPS GEOMETRY AND DYNAMICS
Band
13
Ausgabe
4
Seite(n)
1255-1270
ISSN
1661-7207
eISSN
1661-7215
Page URI
https://pub.uni-bielefeld.de/record/2939455

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Witzel S, Zaremsky MCB. The Basilica Thompson group is not finitely presented. GROUPS GEOMETRY AND DYNAMICS. 2019;13(4):1255-1270.
Witzel, S., & Zaremsky, M. C. B. (2019). The Basilica Thompson group is not finitely presented. GROUPS GEOMETRY AND DYNAMICS, 13(4), 1255-1270. doi:10.4171/GGD/522
Witzel, S., and Zaremsky, M. C. B. (2019). The Basilica Thompson group is not finitely presented. GROUPS GEOMETRY AND DYNAMICS 13, 1255-1270.
Witzel, S., & Zaremsky, M.C.B., 2019. The Basilica Thompson group is not finitely presented. GROUPS GEOMETRY AND DYNAMICS, 13(4), p 1255-1270.
S. Witzel and M.C.B. Zaremsky, “The Basilica Thompson group is not finitely presented”, GROUPS GEOMETRY AND DYNAMICS, vol. 13, 2019, pp. 1255-1270.
Witzel, S., Zaremsky, M.C.B.: The Basilica Thompson group is not finitely presented. GROUPS GEOMETRY AND DYNAMICS. 13, 1255-1270 (2019).
Witzel, Stefan, and Zaremsky, Matthew C. B. “The Basilica Thompson group is not finitely presented”. GROUPS GEOMETRY AND DYNAMICS 13.4 (2019): 1255-1270.