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Collisions: the wild case

Konstantin Ziegler (cosec - b-it)

Thursday  26 November 2009, 15.00, b-it  1.25 (cosec meeting room)

We are interested in univariate polynomials f over a finite field which have several decompositions as f = g o h. The (tame) case where the characteristic p of the ground field does not divide the degree n of f is well understood. We present first results in the study of the wild case, where n is a multiple of p. In particular, when n = p2.

This is joint work with Joachim von zur Gathen and Mark Giebrecht.

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