2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77644A 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 3.23 pages. In LaTeX2e using packages amsmath, amssymb and enumerate. Submitted for publication in Comm. AlgebraGroup Theory20D15text