Geodesic
Tubular Free by Cyclic Groups Act Freely on CAT(0) Cube Complexes
Canadian mathematical bulletin, Tome 60 (2017) no. 1, pp. 54-62

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DOI

We identify when a tubular group (the fundamental group of a finite graph of groups with ${{\mathbb{Z}}^{2}}$ vertex and $\mathbb{Z}$ edge groups) is free by cyclic and show, using Wise’s equitable sets criterion, that every tubular free by cyclic group acts freely on a $\text{CAT}\left( 0 \right)$ cube complex.
DOI : 10.4153/CMB-2016-074-0
Mots-clés : 20F65, 20F67, 20E08, CAT(0), tubular group 
Button, Jack. Tubular Free by Cyclic Groups Act Freely on CAT(0) Cube Complexes. Canadian mathematical bulletin, Tome 60 (2017) no. 1, pp. 54-62. doi: 10.4153/CMB-2016-074-0
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     author = {Button, Jack},
     title = {Tubular {Free} by {Cyclic} {Groups} {Act} {Freely} on {CAT(0)} {Cube} {Complexes}},
     journal = {Canadian mathematical bulletin},
     pages = {54--62},
     year = {2017},
     volume = {60},
     number = {1},
     doi = {10.4153/CMB-2016-074-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-074-0/}
}
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