The automorphisms of class two groups of prime exponent
Group Theory
2015-01-06 v1
Abstract
We give a complete list of all the 70 class two groups of exponent p (p>2) and order p^k for k<9. For each of these groups the number of conjugacy classes is a polynomial in p, and the order of the automorphism group is a polynomial in p. In contrast, Marcus du Sautoy and Michael Vaughan-Lee have given an example of a class two group of exponent p and order p^9 for which neither the number of conjugacy classes, nor the order of the automorphism group is polynomial on residue classes (PORC).
Cite
@article{arxiv.1501.00678,
title = {The automorphisms of class two groups of prime exponent},
author = {Michael Vaughan-Lee},
journal= {arXiv preprint arXiv:1501.00678},
year = {2015}
}