Enumerating classes and characters of p-groups
Group Theory
2013-09-06 v2
Abstract
We develop general formulae for the numbers of conjugacy classes and irreducible complex characters of finite p-groups of nilpotency class less than p. This allows us to unify and generalize a number of existing enumerative results, and to obtain new such results for generalizations of relatively free p-groups of exponent p. Our main tools are the Lazard correspondence and the Kirillov orbit method.
Cite
@article{arxiv.1203.3050,
title = {Enumerating classes and characters of p-groups},
author = {E. A. O'Brien and C. Voll},
journal= {arXiv preprint arXiv:1203.3050},
year = {2013}
}
Comments
21 pages, slightly revised version, to appear in Trans. Amer. Math. Soc