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We study a deformation of the Kummer sequence to the radicial sequence over an -algebra, which is somewhat dual for the deformation of the Artin-Schreier sequence to the radicial sequence, studied by Saidi. We also discuss some relations between our sequences and the embedding of a finite flat commutative group scheme into a connected smooth affine commutative group schemes, constructed by Grothendieck.
We study the degree 3 cohomological invariants with coefficients in of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given.
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