%0 Journal Article %T Finite groups have even more conjugacy classes %A Thomas Michael Keller %J Mathematics %D 2008 %I arXiv %X In his paper "Finite groups have many conjugacy classes" (J. London Math. Soc (2) 46 (1992), 239-249), L. Pyber proved the to date best general lower bounds for the number of conjugacy classes of a finite group in terms of the order of the group. In this paper we strengthen the main results in Pyber's paper. %U http://arxiv.org/abs/0812.2590v1