Geodesic
On the asymptotics of visible elements and homogeneous equations in surface groups
Yago Antolín1 ; Laura Ciobanu2 orcid ; Noèlia Viles3
1Vanderbilt University, Nashville, USA
2Université de Neuchâtel, Switzerland
3Universidad Autonoma de Barcelona, Bellaterra, Spain
Groups, geometry, and dynamics, Tome 6 (2012) no. 4, pp. 619-638

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DOI

Let F be a group whose abelianization is Zk, k≥2. An element of F is called visible if its image in the abelianization is visible, that is, the greatest common divisor of its coordinates is 1.
DOI : 10.4171/ggd/167
Classification : 20-XX, 68-XX, 00-XX
Mots-clés : Free groups, surface groups, equations, visible elements, asymptotic behavior

Yago Antolín  1   ; Laura Ciobanu  2   ; Noèlia Viles  3

1 Vanderbilt University, Nashville, USA
2 Université de Neuchâtel, Switzerland
3 Universidad Autonoma de Barcelona, Bellaterra, Spain 
Yago Antolín; Laura Ciobanu; Noèlia Viles. On the asymptotics of visible elements and homogeneous equations in surface groups. Groups, geometry, and dynamics, Tome 6 (2012) no. 4, pp. 619-638. doi: 10.4171/ggd/167
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     title = {On the asymptotics of visible elements and homogeneous equations in surface groups},
     journal = {Groups, geometry, and dynamics},
     pages = {619--638},
     year = {2012},
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     number = {4},
     doi = {10.4171/ggd/167},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/167/}
}
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