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A classification of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>โ</mml:mi></mml:math>-Fuchsian subgroups of Picard modular groups
Given an imaginary quadratic extension K of โ, we classify the maximal nonelementary subgroups of the Picard modular group PU(1,2;๐ช K ) preserving a totally real totally geodesic plane in the complex hyperbolic plane โ โ 2 . We prove that these maximal โ-Fuchsian subgroups are arithmetic, and describe the โฆ