Geodesic
ON CONJUGACY CLASSES OF THE KLEIN SIMPLE GROUP IN CREMONA GROUP
Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 395-400

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DOI

We consider countably many three-dimensional PSL2( $\mathbb{F}$ 7)-del Pezzo surface fibrations over P1. Conjecturally, they are all irrational except two families, one of which is the product of a del Pezzo surface with P1. We show that the other model is PSL2( $\mathbb{F}$ 7)-equivariantly birational to P2×P1. Based on a result of Prokhorov, we show that they are non-conjugate as subgroups of the Cremona group Cr3(C). 
AHMADINEZHAD, HAMID. ON CONJUGACY CLASSES OF THE KLEIN SIMPLE GROUP IN CREMONA GROUP. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 395-400. doi: 10.1017/S0017089516000239
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     title = {ON {CONJUGACY} {CLASSES} {OF} {THE} {KLEIN} {SIMPLE} {GROUP} {IN} {CREMONA} {GROUP}},
     journal = {Glasgow mathematical journal},
     pages = {395--400},
     year = {2017},
     volume = {59},
     number = {2},
     doi = {10.1017/S0017089516000239},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000239/}
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