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We describe the Galois objects and biGalois groups of monomial nonsemisimpleHopf algebras. The main feature of our description is the use of modifiedversions of the second cohomology group of the grouplike elements. Thesecomputations generalize the previous ones of Masuoka and Schauenburg for theTaft algebras.

GALOIS AND BIGALOIS OBJECTS OVER MONOMIAL NON-SEMISIMPLE HOPF ALGEBRAS