Geodesic
On the centralizer of rigid transformations
Sbornik. Mathematics, Tome 75 (1993) no. 2, pp. 445-472

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A rigid rank-2 transformation with trivial weak essential centralizer is constructed. A family of transformations with analogous properties but of infinite rank is also constructed. 
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     author = {O. N. Ageev},
     title = {On the centralizer of rigid transformations},
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O. N. Ageev. On the centralizer of rigid transformations. Sbornik. Mathematics, Tome 75 (1993) no. 2, pp. 445-472. http://geodesic.mathdoc.fr/item/SM_1993_75_2_a7/