The Coexponent of a Regular p-Group
Abstract
Description
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.
23 pages. In LaTeX2e using packages amsmath, amssymb and enumerate. Submitted for publication in Comm. Algebra
23 pages. In LaTeX2e using packages amsmath, amssymb and enumerate. Submitted for publication in Comm. Algebra