Related papers: Endomorphisms of polynomial rings and Jacobians

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This paper has been withdrawn by the author due to a crucial mistakes.

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

This paper has been withdrawn by the author due to some errors.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

This paper has been withdrawn by the author due to incomplete interpretation for the results.

This paper has been withdrawn by the author due to a gap in the proof of the main result.

The paper has been withdrawn.

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author, due to errors in the figures.

Major mistake. The paper has been withdrawn.

This paper has been withdrawn by the author.

The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968

This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

This paper has been withdrawn by the author(s), due a crucial i-number error in Eqn. 18.

This paper has been withdrawn by the author(s), due a crucial error on the entanglement of $\Gamma$ registers.