Non-PORC behaviour of a class of descendant $p$-groups
Group Theory
2011-07-01 v2 Number Theory
Abstract
We prove that the number of immediate descendants of order of is not PORC (Polynomial On Residue Classes) where is the -group of order defined by du Sautoy's nilpotent group encoding the elliptic curve . This has important implications for Higman's PORC conjecture.
Cite
@article{arxiv.1106.5530,
title = {Non-PORC behaviour of a class of descendant $p$-groups},
author = {Marcus du Sautoy and Michael Vaughan-Lee},
journal= {arXiv preprint arXiv:1106.5530},
year = {2011}
}