Irrational-slope versions of thompson's groups T and V
Cita com:
hdl:2117/368490
Tipus de documentArticle
Data publicació2022-02-11
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Reconeixement-NoComercial-SenseObraDerivada 4.0 Internacional
Abstract
In this paper, we consider the T - and V -versions, Tt and Vt , of the irrational slope Thompson group Ft considered in J. Burillo, B. Nucinkis and L. Reeves [An irrational-slope Thompson's group, Publ. Mat. 65 (2021), 809–839]. We give infinite presentations for these groups and show how they can be represented by tree-pair diagrams similar to those for T and V . We also show that Tt and Vt have index- 2 normal subgroups, unlike their original Thompson counterparts T and V . These index- 2 subgroups are shown to be simple.
CitacióBurillo, J.; Nucinkis, B.; Reeves, L. Irrational-slope versions of thompson's groups T and V. "Proceedings of the Edinburgh Mathematical Society", 11 Febrer 2022, vol. 65, núm. 1, p. 244-262.
ISSN1464-3839
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