Residual solubility of Fuchsian groups
Zomorrodian, Reza
Illinois J. Math., Tome 51 (2007) no. 3, p. 697-703 / Harvested from Project Euclid
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The derived series for all co-compact non-perfect Fuchsian groups are investigated. These groups are residually finite and residually soluble. The intersection of the derived series for these groups is the identity. We will show that if $\Gamma$ is not perfect, then the number of terms in the derived series up to and including the first surface group cannot exceed $4$. We then use this result to compute the derived series of some important general triangle groups.
Publié le : 2007-07-15
Classification:  20H10,  20D15,  20D45 
@article{1258131097,
     author = {Zomorrodian, Reza},
     title = {Residual solubility of Fuchsian groups},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 697-703},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131097}
}

Zomorrodian, Reza. Residual solubility of Fuchsian groups. Illinois J. Math., Tome 51 (2007) no. 3, pp.  697-703. http://gdmltest.u-ga.fr/item/1258131097/