Geodesic
Quasi-isometries between tubular groups
Christopher H. Cashen1
1University of Vienna, Wien, Austria
Groups, geometry, and dynamics, Tome 4 (2010) no. 3, pp. 473-516

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DOI

We give a method of constructing maps between tubular groups inductively according to a finite set of strategies. This map will be a quasi-isometry exactly when the set of strategies satisfies certain consistency criteria. Conversely, if there exists a quasi-isometry between tubular groups, then there is a consistent set of strategies for building a quasi-isometry between them.
DOI : 10.4171/ggd/92
Classification : 20-XX, 00-XX
Mots-clés : Tubular group, snowflake group, quasi-isometry

Christopher H. Cashen  1

1 University of Vienna, Wien, Austria 
Christopher H. Cashen. Quasi-isometries between tubular groups. Groups, geometry, and dynamics, Tome 4 (2010) no. 3, pp. 473-516. doi: 10.4171/ggd/92
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     title = {Quasi-isometries between tubular groups},
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     pages = {473--516},
     year = {2010},
     volume = {4},
     number = {3},
     doi = {10.4171/ggd/92},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/92/}
}
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