The Coexponent of a Regular p-Group
Group Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/9811004,
title = {The Coexponent of a Regular p-Group},
author = {Paul J. Sanders},
journal= {arXiv preprint arXiv:math/9811004},
year = {2007}
}
Comments
23 pages. In LaTeX2e using packages amsmath, amssymb and enumerate. Submitted for publication in Comm. Algebra