%0 Journal Article %T Small knot complements, exceptional surgeries, and hidden symmetries %A Neil Hoffman %J Mathematics %D 2011 %I arXiv %R 10.2140/agt.2014.14.3227 %X This paper provides two obstructions to small knot complements in $S^3$ admitting hidden symmetries. The first obstruction is being cyclically commensurable with another knot complement. This result provides a partial answer to a conjecture of Boileau, Boyer, Cebanu, and Walsh. We also provide a second obstruction to admitting hidden symmetries in the case where a small knot complement covers a manifold admitting some symmetry and at least two exceptional surgeries. %U http://arxiv.org/abs/1110.3863v2