%0 Journal Article %T The Coexponent of a Regular p-Group %A Paul J. Sanders %J Mathematics %D 1998 %I arXiv %X A sharp bound is derived for the nilpotency class of a regular p-group in terms of its coexponent, and is used to show that the number of groups of order p^n with a given fixed coexponent, is independent of n, for p and n sufficiently large. Explicit formulae are calculated in the case of coexponent 3. %U http://arxiv.org/abs/math/9811004v1