Related papers: The Tits Alternative: An Elementary Exposition
This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author due to an error in the sufficient condition given for the proof of the Tate conjecture for Catanese surfaces.
This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.1.
This paper has been withdrawn by the author because in the main text some discussion parts were inadvertently added by mistake.
This paper has been withdrawn by the author due to imprecisions which must conduce to wrong results.
This paper has been withdrawn by the author due to an error in the proof of Theorem 1.
This paper has been withdrawn by the authors.
This paper has been withdrawn by the authors
This paper has been withdrawn by the author, due a crucial error in Eq. 6.
The paper has benn withdrawn because the computation of the external virial contains an error which invalidate the main result.
This paper as been withdrawn. This paper as been withdrawn. This paper as been withdrawn. This paper as been withdrawn. This paper as been withdrawn. This paper as been withdrawn.
This paper has been withdrawn by the author because overcame by arXiv:0910.4694
This article is withdrawn because of a mistake in the main result of the paper.
This paper has been withdrawn because the content has been substantially improved in a later paper, arXiv:0806.1165.
This paper has been withdrawn by the author due to a crucial error in one of equation in (3).
This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2
This article has been withdrawn due to a mistake which is explained in version 2.
This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.
This paper has been withdrawn by the author due to a crucial sign error in equation 1.