Geodesic
Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a~skew field
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 121-135

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In the hyperbolic unitary group over a skew field we study the lattice of subgroups containing all diagonal unitary matrices. If a form parameter is minimal, this lattice has the standard description in terms of net subgroups. In our previous paper this fact was proved for the groups of degree 4. 
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     author = {E. V. Dybkova},
     title = {Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a~skew field},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {121--135},
     publisher = {mathdoc},
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     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a6/}
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E. V. Dybkova. Overdiagonal subgroups of the hyperbolic unitary group for the good form ring over a~skew field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 121-135. http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a6/