%0 Journal Article %T The crossing number of satellite knots %A Marc Lackenby %J Mathematics %D 2011 %I arXiv %R 10.2140/agt.2014.14.2379 %X We show that the crossing number of a satellite knot is at least 10^{-13} times the crossing number of its companion knot. %U http://arxiv.org/abs/1106.3095v2