%0 Journal Article %T Infinite class field towers %A Jing Long Hoelscher %J Mathematics %D 2008 %I arXiv %X This paper studies infinite class field towers of number fields $K$ that are ramified over $\Q$ only at one finite prime. In particular, we show the existence of such towers for a general family of primes including $p=2$, 3 and 5. %U http://arxiv.org/abs/0802.3461v2