Geodesic
Thompson groups for systems of groups, and their finiteness properties
Stefan Witzel1 ; Matthew C.B. Zaremsky2 orcid
1Universität Bielefeld, Germany
2University of Albany (SUNY), USA
Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 289-358

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DOI

We describe a procedure for constructing a generalized Thompson group out of a family of groups that is equipped with what we call a cloning system. The previously known Thompson groups F, V, Vbr​ and Fbr​ arise from this procedure using, respectively, the systems of trivial groups, symmetric groups, braid groups and pure braid groups.
DOI : 10.4171/ggd/444
Classification : 20-XX, 57-XX
Mots-clés : Thompson’s group, finiteness properties, upper triangular matrix, mock reflection group, loop braid group

Stefan Witzel  1   ; Matthew C.B. Zaremsky  2

1 Universität Bielefeld, Germany
2 University of Albany (SUNY), USA 
Stefan Witzel; Matthew C.B. Zaremsky. Thompson groups for systems of groups, and their finiteness properties. Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 289-358. doi: 10.4171/ggd/444
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     title = {Thompson groups for systems of groups, and their finiteness properties},
     journal = {Groups, geometry, and dynamics},
     pages = {289--358},
     year = {2018},
     volume = {12},
     number = {1},
     doi = {10.4171/ggd/444},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/444/}
}
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