In this work, we investigate how to decompose a pair $(A,B)$ ofloxodromic isometries of the complex hyperbolic plane $mathbf H^{2}_{mathbb C}$ underthe form $A=I_1I_2$ and $B=I_3I_2$, where the $I_k$'s areinvolutions. The main result is a decomposability criterion, whichis expressed in terms of traces of elements of the group $langleA,B angle$.
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机译：在这项工作中，我们研究了如何分解复杂双曲平面$ mathbf H ^ {2} _ {mathbb C} $的一对（A，B）$氧氧对称形式，形式为$ A = I_1I_2 $和$ B = I_3I_2 $，其中$ I_k $是involutions。主要结果是可分解性标准，该标准用$ langleA，B angle $组元素的痕迹表示。
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