Jø rgensen subgroups of the Picard group
González-Acuña, Francisco ; Ramírez, Arturo
Osaka J. Math., Tome 44 (2007) no. 1, p. 471-482 / Harvested from Project Euclid
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Let $G$ be a subgroup of rank two of the Möbius group $\textit{PSL}(2, \mathbb{C})$. The Jørgensen number $J(G)$ of $G$ is defined by \[ J(G) = \inf \{|\tr^{2} A - 4| + \mathopen|\tr[A, B]-2|\colon \langle A, B\rangle= G\}. \] We describ e all subgroups $G$ of the Picard group $\textit{PSL}(2, \mathbb{Z} + i\mathbb{Z})$ with $J(G) = 1$.
Publié le : 2007-06-14
Classification:  30F40,  20E06 
@article{1183667991,
     author = {Gonz\'alez-Acu\~na, Francisco and Ram\'\i rez, Arturo},
     title = {J\o\ rgensen subgroups of the Picard group},
     journal = {Osaka J. Math.},
     volume = {44},
     number = {1},
     year = {2007},
     pages = { 471-482},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183667991}
}

González-Acuña, Francisco; Ramírez, Arturo. Jø rgensen subgroups of the Picard group. Osaka J. Math., Tome 44 (2007) no. 1, pp.  471-482. http://gdmltest.u-ga.fr/item/1183667991/