Mathematics – Group Theory
Scientific paper
2011-06-27
Mathematics
Group Theory
Scientific paper
We prove that the number of immediate descendants of order $p^10$ of $G_p$ is
not PORC (Polynomial On Residue Classes) where $G_p$ is the $p$-group of order
$p^9$ defined by du Sautoy's nilpotent group encoding the elliptic curve
$y^2=x^3-x$. This has important implications for Higman's PORC conjecture.
Sautoy Marcus du
Vaughan-Lee Michael
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