%0 Journal Article %T On pointed Hopf algebras associated with the symmetric groups %A Nicol¨¢s Andruskiewitsch %A Fernando Fantino %A Shouchuan Zhang %J Mathematics %D 2008 %I arXiv %X It is an important open problem whether the dimension of the Nichols algebra B(O,\rho) is finite when O is the class of the transpositions and \rho is the sign representation, with m>= 6. In the present paper, we discard most of the other conjugacy classes showing that very few pairs (O,\rho) might give rise to finite-dimensional Nichols algebras. %U http://arxiv.org/abs/0807.2406v2